{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Examples\n",
    "[Solovjov (2017)](http://dx.doi.org/10.1016/j.jqsrt.2017.01.034) provides five examples for testing the RCSLW model. We reproduce those examples here, labeled S1-S5. \n",
    "\n",
    "[Bordbar (2020)](https://doi.org/10.1016/j.icheatmasstransfer.2019.104400) provides four examples and we reproduce example 3 here, labeled B3. \n",
    "\n",
    "[Solovjov (2001)](https://doi.org/10.1115/1.1350824) provides two examples with soot. We reproduce example 1 here, labeled Sb1. \n",
    "\n",
    "These are one-dimensional plane parallel configurations with varying domain width, temperature, and composition profiles. Comparisons are made of the radiative heat flux or volumetric radiative source term for the Planck Mean, WSGG, and RCSLW models. The line-by-line (LBL) data are taken directly from the plots presented in the cited papers. For the RCSLW model, we use the same number of gray gases (four) as in the WSGG model to provide more relevant comparison. In example 5, we show variation in the RCSLW model for different number of gases. In initializing the RCSLW model, average gas properties are used for all examples. Example S5 shows improved results when using the peak temperature instead of the average.\n",
    "\n",
    "The motivation for each example is provided in the references. Here, we present the examples to demonstrate the code and give comparisons between the models with available LBL data."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Important: Python path\n",
    "* Make sure your PYTHONPATH environment variable includes the path to the python module.\n",
    "* For example, this can be set in your ```.bashrc``` file.\n",
    "* Alternatively, you can include the following code here, but edit the path.\n",
    "```python\n",
    "import sys\n",
    "sys.path.append('/path/to/the/radlib/installation/lib/pythonX.Y/site-packages')\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "import os\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "import matplotlib\n",
    "matplotlib.rcParams.update({'font.size':16, 'figure.autolayout': True});\n",
    "\n",
    "class _hide_print:\n",
    "    def __enter__(self):\n",
    "        self._stdout = sys.stdout\n",
    "        sys.stdout = open(os.devnull, 'w')\n",
    "\n",
    "    def __exit__(self, exc_type, exc_val, exc_tb):\n",
    "        sys.stdout.close()\n",
    "        sys.stdout = self._stdout\n",
    "        \n",
    "from ex_S1  import ex_S1\n",
    "from ex_S2  import ex_S2\n",
    "from ex_S3  import ex_S3\n",
    "from ex_S4  import ex_S4\n",
    "from ex_S5  import ex_S5\n",
    "from ex_B3  import ex_B3\n",
    "from ex_Sb1 import ex_Sb1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Example S1\n",
    "\n",
    "* This example consists of a uniform, isothermal hot gas layer at $T_{hot}$=2000 K, next to a uniform, isothermal cold gas layer at $T_{cold}$=300 K. \n",
    "* P = 1 atm.\n",
    "* The gas composition throughout is a mixture of water vapor and CO$_2$ with mole fractions $y_{H2O}=0.2$, and $Y_{CO2}$=0.1. \n",
    "* The radiative flux at the exit of the cold layer is computed.\n",
    "* The hot layer thickness is fixed at $L_{hot}=0.5$. The cold layer thickness varies.\n",
    "* Boundaries are black and cold (outgoing intensity is zero)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.plot([0,0.5,0.5],   [2000,2000,1250], color='red')\n",
    "ax.plot([0.5,0.5,1.5], [1250,300,300],   color='blue')\n",
    "ax.set_xlabel('x (m)')\n",
    "ax.set_ylabel('T (K)')\n",
    "ax.set_xlim([0,1.5])\n",
    "ax.set_ylim([200,2200])\n",
    "ax.text(0.9,350,r'$T_{cold}$', color='blue')\n",
    "ax.text(0.15,2050,r'$T_{hot}$', color='red')\n",
    "ax.arrow(1,1250, 0.5,0,  fc='gray', ec='gray', head_width=50, head_length=0.05, length_includes_head=True)\n",
    "ax.arrow(1,1250, -0.5,0, fc='gray', ec='gray', head_width=50, head_length=0.05, length_includes_head=True)\n",
    "ax.text(0.8, 1300,r'$L_{cold}\\,\\,(varies)$', color='gray')\n",
    "ax.arrow(0.25,1250, 0.25,0,  fc='gray', ec='gray', head_width=50, head_length=0.05, length_includes_head=True)\n",
    "ax.arrow(0.25,1250, -0.25,0, fc='gray', ec='gray', head_width=50, head_length=0.05, length_includes_head=True)\n",
    "ax.text(0.15,1300,r'$L_{hot}$',  color='gray');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "with _hide_print():\n",
    "    Lcold, qsigT4_pm    = ex_S1('planckmean')\n",
    "    Lcold, qsigT4_wsgg  = ex_S1('wsgg')\n",
    "    Lcold, qsigT4_rcslw = ex_S1('rcslw', 4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#-------------- LBL data\n",
    "\n",
    "lbl  = np.loadtxt('LBLdata/ex_S1_LBL.dat')\n",
    "\n",
    "#-------------- PLOT BOILERPLATE\n",
    "\n",
    "fig, ax = plt.subplots();\n",
    "ax.tick_params(direction='in', top=True, right=True)\n",
    "plt.cla()\n",
    "\n",
    "#-------------- PLOT\n",
    "\n",
    "ax.plot(Lcold, qsigT4_pm,    'ro:',  markersize=4)\n",
    "ax.plot(Lcold, qsigT4_wsgg,  'gs-.', markersize=4)\n",
    "ax.plot(Lcold, qsigT4_rcslw, 'b^--', markersize=4)\n",
    "ax.plot(lbl[:,0], lbl[:,1],  'k*',   markersize=8)\n",
    "\n",
    "ax.legend(['PM', 'WSGG', 'RCSLW', 'LBL'], frameon=False)\n",
    "ax.set_xlabel(r'L$_{cold}$')\n",
    "ax.set_ylabel(r'$q(L)/\\sigma T_{hot}^4$');\n",
    "ax.set_xlim([-0.05,2.05])\n",
    "ax.set_ylim([-0.01, 0.5]);\n",
    "plt.savefig('ex_S1.pdf');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Example S2\n",
    "* This example is like example 1, but the temperature is isothermal at T=1000 K throughout.\n",
    "* P = 1 atm.\n",
    "* There is a *thick* layer with $L_{thick}=0.5$ m and a *thin* layer with varying width.\n",
    "* The participating gas is CO$_2$ throughout.\n",
    "* The mole fraction of $CO_2$ is 0.4 in the thick layer and 0.1 in the thin layer.\n",
    "* The boundaries are black and cold. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.plot([0,0.5,0.5],   [0.4,0.4,0.25], color='red')\n",
    "ax.plot([0.5,0.5,1.5], [0.25,0.1,0.1], color='blue')\n",
    "ax.set_xlabel('x (m)')\n",
    "ax.set_ylabel(r'$y_{CO2}$')\n",
    "ax.set_xlim([0,1.5])\n",
    "ax.set_ylim([0.05, 0.45])\n",
    "ax.arrow(1,0.25, 0.5,0, fc='gray', ec='gray', head_width=0.01, head_length=0.05, length_includes_head=True)\n",
    "ax.arrow(1,0.25,-0.5,0, fc='gray', ec='gray', head_width=0.01, head_length=0.05, length_includes_head=True)\n",
    "ax.text(0.8, 0.27,r'$L_{thin}\\,\\,(varies)$', color='gray')\n",
    "ax.arrow(0.25,0.25, 0.25,0, fc='gray', ec='gray', head_width=0.01, head_length=0.05, length_includes_head=True)\n",
    "ax.arrow(0.25,0.25,-0.25,0, fc='gray', ec='gray', head_width=0.01, head_length=0.05, length_includes_head=True)\n",
    "ax.text(0.18,0.27,r'$L_{thick}$',  color='gray');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "with _hide_print():\n",
    "    Lcold, qsigT4_pm    = ex_S2('planckmean')\n",
    "    Lcold, qsigT4_wsgg  = ex_S2('wsgg')\n",
    "    Lcold, qsigT4_rcslw = ex_S2('rcslw', 4)       # perfect agreement with nGG=8"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#-------------- LBL data\n",
    "\n",
    "lbl  = np.loadtxt('LBLdata/ex_S2_LBL.dat')\n",
    "\n",
    "#-------------- PLOT BOILERPLATE\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.tick_params(direction='in', top=True, right=True)\n",
    "plt.cla()\n",
    "\n",
    "#-------------- PLOT\n",
    "\n",
    "ax.plot(Lcold, qsigT4_pm,    'ro:',  markersize=4)\n",
    "ax.plot(Lcold, qsigT4_wsgg,  'gs-.', markersize=4)\n",
    "ax.plot(Lcold, qsigT4_rcslw, 'b^--', markersize=4)\n",
    "ax.plot(lbl[:,0], lbl[:,1],  'k*',   markersize=8)\n",
    "\n",
    "ax.legend(['PM', 'WSGG', 'RCSLW', 'LBL'], frameon=False)\n",
    "\n",
    "ax.set_xlabel(r'L$_2$')\n",
    "ax.set_ylabel(r'$q(L)/\\sigma T^4$')\n",
    "ax.set_xlim([-0.05,2.05])\n",
    "ax.set_ylim([0.0, 1.1]);\n",
    "plt.savefig('ex_S2a.pdf');\n",
    "\n",
    "#-------------- PLOT BOILERPLATE\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.tick_params(direction='in', top=True, right=True)\n",
    "plt.cla()\n",
    "\n",
    "#-------------- PLOT\n",
    "\n",
    "ax.plot(Lcold, qsigT4_wsgg,  'gs-.', markersize=4)\n",
    "ax.plot(Lcold, qsigT4_rcslw, 'b^--', markersize=4)\n",
    "ax.plot(lbl[:,0], lbl[:,1],  'k*',   markersize=8)\n",
    "\n",
    "ax.legend(['WSGG', 'RCSLW', 'LBL'], frameon=False)\n",
    "\n",
    "ax.set_xlabel(r'L$_2$')\n",
    "ax.set_ylabel(r'$q(L)/\\sigma T^4$')\n",
    "ax.set_xlim([-0.05,2.05])\n",
    "ax.set_ylim([0.15, 0.2]);\n",
    "plt.savefig('ex_S2b.pdf');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Example S3\n",
    "* L = 1 m domain\n",
    "* P = 1 atm\n",
    "* Parabolic temperature profile: $T(x) = 4000x(L-x)/L^2 + 800$ K.\n",
    "* T$_{wall}$ = 800 K (black)\n",
    "* The participating gas is water vapor with mole fraction profile $y_{H2O}(x)=0.8x(L-x)/L^2+0.12.$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "L = 1\n",
    "x = np.linspace(0,L,100)\n",
    "T = 400*x*(L-x)/L**2 + 800\n",
    "y = 0.8*x*(L-x)/L**2 + 0.12\n",
    "\n",
    "fig,ax=plt.subplots(1,2,figsize=(9,4))\n",
    "ax[0].plot(x,T,color='red')\n",
    "ax[0].set_xlabel('x (m)')\n",
    "ax[0].set_ylabel('T (K)')\n",
    "ax[1].plot(x,y)\n",
    "ax[1].set_xlabel('x (m)')\n",
    "ax[1].set_ylabel(r'$y_{H2O}$');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "with _hide_print():\n",
    "    xQ, Qpm    = ex_S3('planckmean')\n",
    "    xQ, Qwsgg  = ex_S3('wsgg')\n",
    "    xQ, Qrcslw = ex_S3('rcslw', 4)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#-------------- LBL data\n",
    "\n",
    "lbl  = np.loadtxt('LBLdata/ex_S3_LBL.dat')\n",
    "\n",
    "#-------------- PLOT BOILERPLATE\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.tick_params(direction='in', top=True, right=True)\n",
    "plt.cla()\n",
    "\n",
    "#-------------- PLOT\n",
    "\n",
    "ax.plot(xQ, Qpm/1000,    'r:')\n",
    "ax.plot(xQ, Qwsgg/1000,  'g-.')\n",
    "ax.plot(xQ, Qrcslw/1000, 'b--')\n",
    "ax.plot(lbl[:,0], lbl[:,1], 'k-')\n",
    "\n",
    "ax.legend(['PM', 'WSGG', 'RCSLW', 'LBL'], frameon=False)\n",
    "\n",
    "ax.set_xlabel(r'x (m)')\n",
    "ax.set_ylabel(r'Q (kW/m$^3$)')\n",
    "ax.set_xlim([0,1])\n",
    "ax.set_ylim([-800,400]);\n",
    "plt.savefig('ex_S3.pdf');\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Example S4\n",
    "* L = 1 m domain\n",
    "* P = 1 atm\n",
    "* Uniform composition of water vapor with a mole fraction of 0.1\n",
    "* Black walls at 500 K\n",
    "* Triangular temperature profile centered at x=0.15 m with a base width of 0.1 m and a peak temperature of 2500 K."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.plot([0,0.1,0.15,0.2,0.3],   [500,500,2500,500,500], 'k-')\n",
    "ax.plot([0.1,0.1],[0,3000], color='gray', linewidth=1)\n",
    "ax.plot([0.2,0.2],[0,3000], color='gray', linewidth=1)\n",
    "ax.set_xlabel('x (m)')\n",
    "ax.set_ylabel('T (K)')\n",
    "ax.set_xlim([0,0.3])\n",
    "ax.set_ylim([0,3000]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "with _hide_print():\n",
    "    xQ, Qpm    = ex_S4('planckmean')\n",
    "    xQ, Qwsgg  = ex_S4('wsgg')\n",
    "    xQ, Qrcslw = ex_S4('rcslw', 4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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UyXowf9w462Hu6tWhSpUU/P1P4OFxCG9vK5gcOnSIQ4eyfo6Pj89xrsCgQFp2bEmzjs2o164e/lX8OZ98nnNJ56wl+Ryh/qF8ev2nAPSc3BNfL1+WDF8CQN0JdTl45mDm+YJ8gijnV46j545ybYNrmXvHXHw9fWD/fh587z2+/PJLtmzZQrNmzRz+u77SXbhwgcaNG+PlVZEDB9bzTvdFPDu1NX9zjP4/9idd06kaVJWT8Sc5k3gmx7HRz0QTGhDKK7+/wtcbv+boE0cREf635n/8ffxv/FP8STqWROLJRM5Hnuf00dNEHYnixJETpCSnZJ6nYsWKNGnSJM9SsWJtoqI8OXYMate2lv374YUXrL/lU6esgQpiYmDqVGtQghUroE+frDyWL28FnS+/hB49YONGmDTJ2l6unPVavrz1mE9oqPU/ZmKi9ViQO/+fKSJODTZm1Gc3lJ5ufdFfuGANZuzjY/13tnWrNQ1IXJz1ev483Huv9Ye/aBF8803O/XFxsHq1FRTefhveeCPvta6/3vqAbN2qLF0KwWXTKROcToWqqQQFJRG+fQenY6Oo1SqOkaFnqF02CNUzHI7dzuGof7nzzsrExMSw79g+YmJiuHDuAikXUvJcxzPIE6/yXgwIG0Dfvn1ZdXYVxzyOseDBBdSuXZs7Ft7B7wd/Zy1rYSvWghU0gn2DCfYNplFoo8zzDWs5LLNWAzBz8Ex8vXwJ9Q8lxD8EXy9fAL7850vuW3AfQ2cP5ecjnfB8+lniBh3C0/MnnnzySRYtWoRkjMdlOMRHH33EkSNHCAn5gXZ1z/DUmkGcS97IgBkDCPEPYcXIFdQuVxuApNQkouKjOBl/kpNxJynvb40Q0LZqWxJSEjLfm8i4SP45/g+xibHEXoglLTANGmAtAOkQlBDEtJ7T2LVrFxMXTSTiYAQ7d+4kOttEeuIp+IX6EVQpiDKVy1CucjlCqoYQ2DiQhm0q8Hij6wH4+2gE20554zOnFampQTz2Sgrp6dVIvlCZuDP+nIv1QfyTOJ/kxf6Dfsya5UVsrOQYoGDdOivY/PST9TkFa2aFMmWsZeFCqF8fFiyw0pQpk3P/mDHW67//WrWyoCBrCQiwlvLls4aSKwlMzSYXEakJ/A/oCwiwDHhcVQ9f9ECgfv0wfeWVCOLjlfiEdOLi07juhiQaNEli2zbl4w8CSEv2ISXJm7iENE6fS+T995R+vYKYOussD4wOICnRg+SkrC/Rlycvps5Vxwn/pS7fvd4rzzWXrDpFv64VefnD3Ux8vyxe/hfw9EvAwzcB8Y2n3qCJpMoxYnZV48z+itzSrAehAZ5sORnO8n/n8UD7QaQmprBixwq2H9oOF7CWBCDxIr8nD0H9lIbVGxIaGsrx1ONEpkXiE+SDTxkfAsoFEFQxiLKVy1K+cnmCywQT6BPINzd+g4jw655fOXruKPeH3Q/AhsgNJKYmZgaWYN9gyviUyRFQiurDtR+yaN8iprd6i7JrN/L4xpFM+OxT4EkWLFjA9ddff9nXMCxxcXHUrVuXFi3C8PNbxJtvQrtmF8DfnwV7FtCiUgvqlKtzWddQVeKS4ziTeIb4lHjOJ50nLjmOlPQU+tXvB8DsnbOJTojmvnb3ER0dzZNTnmTz9s2ciTxD3Mk4LkRfIDk6mbTzaYW7uBdQBgiyvQZgfUsAtcvWpl/d60lKgvk7fqN21XKM7jeKwMDmvPLLaiS9GiQFo8mBaFIQ7e75geDQCxxcfg1bZg+ApDKkXPDLHMhg3oY13NCmM88+l8K77+Rtu/t543yCAj35/r2mLJlVnUB/D8oEeeEfoIhPAkuXJxMSUJ7PJ6USvjqJwAAhMNCDoEAPQkM8eOxRDzzEg9WrrX9s+/Z1bs3GBJtsRCQA2AwkAS9hPfH8Jtaf1FWqGn+RwxG5SmFhzo3XPgJN50Jka1g4kUrlylC5bHnSPOPYERvBS88FcP/ADnzz21+8+tEO8DgPkrHEQ5U/wTsWzpeBs6EMaNibmmUqceD0Tn7bu4B+ta/BHz/2ntjLnhN7IAVIBk1U0hPT0dSLv78iQnBwMAHBAXgEeBBYNpAy5coQXC6Y4HLBlAspR7ny5QgJCSE0NJReTXtRtXJV0n3SSUpPompQ1RJRM1DVzHyeOwcNGyZz7lxLatWCrVu34uPjc4kzGAXx3nvv8cwzz/DXX3/RuXNnVJWtUVu5qvJVrs6aXQkJCRw+fJikpKQcfyPRCdGoKhUCKnD+/Hl+3/I7R44dIepEFKdOnuJ01GliT8USfzaejO9QTw9PfD2tGnV8SjzpKekkJWTNEutdxhuvQC/rhjma4zWddMr6lqV+lfqEhIby29EVdGzSjhvaDOR8kg/vhH8PHmWtJT0Q4tOgxmyIAw42hOhgAlXxTEtCPII4m5xOp16edGrYiRWrfNmyLRjSK0NaVUivAv5p8EAHq7y/fIVfYj0uHOtlgk1xEZHHgA+Axqq6z7atLrAXeFZVP7jE8cXyy/T29iYgIIDAwEACAgLs/ly2bFnKli1LuXLlLvpzUFAQHkUch6ykOXTmEE/8+jCf+N7K0vOjuOueRcBAPvjgA5544glXZ6/ES0hIoG7dugQGtmLp0t+ov3k2X89/g/vqbmXN6DV0qN7B1VksVqpKZGQk27dvZ9u2bezYsYPz589fNP358+eJjo7mVPQpYqJjLpo+g6+fLxWqVKB6tepUr1ydM+fOcPD4QZLjkjkbe5a4uLhLnsPD05P0tDRzz6YY3QiszQg0AKp6QERWAzdhBaJ81a5dm5deeqnIF/fw8MgROPILJt4lrjuMe0hKS2L1gXC2Tl7AiKkt+azjADZv7s/rr7/OiBEj7PZ4Mwpu0qRJREVFAa8QHg71PeO4fZcncfe9R/tq7V2dvWInIlSrVo1q1arRt4izjSYlJRETE0N0dHTma1JSElWrVs08d3Bw8EVbF5KTkzl9+jQxMTGZr7GxsaSlZTUhenh4MHr06CLlsaBMzSYbETkB/KKq9+fa/ikwWFUrXux4d+6NZlgSo0/gt303dOnC3gNeHDu2g969WzB27FjGjRvn6uyVWBcuXKBevXqcOdOUhg1XsGGDgkcaXh7m/9mSwtm90a6M9pOCCwFi7Ww/DZS3d4CI3CciESIScepiU94absGvQhXSu3fj512zqFk3kZ49m3HHHXfwySefEBMT4+rslVhff/01J06cIDHxFf77X1iwaxZtvmjD4bOX7FdjuI8KGd9ltuU+R57cBJvLpKqTVDVMVcMqVrxoxcdwE2s3/8qQWUOY8NsbpKTA/v0vERcXx4cffujqrJVISUlJjBs3Hm/vbvTq1YNe1yTz1Ix70b17qepfydXZMwouOuO7zLZMcuTJTbDJKRb7NZj8ajxGCXS1bwNu3AVv/vM/YpOjaNy4OR4eg5gw4SNiY83bXFjffvstx48fY8CAV3jjDeGbjV+z3+Ms/w24CW8fP1dnz3ATJtjktB1obmd7M2BHMefFcJYmTfjvq6tI0GTeXf0ur74Kqi9z/vw5M4RNIaWlpfHOO+/QqVMn5szpQ5sO8bwR/gbdanXjuv+b5ursGW7EBJuc5gGdRKRexgYRqQN0se0zSgMRGjfpytCWQ5m4fiJlqkRx++1X4eV1C//734ecPXvW1TksMRYuXMjBgwe59tqnAGHi+omciDvBuK6vlYjnr4ziY4JNTl8CB4FfROQmEbkR+AU4AnzhyowZDhYTw0sL40hKTeK9v97jmWcgNfVlzp49wyeffOLq3JUYH3/8CZ6e1Vm06CYSUxP5YM0H9D1dji4jXnB11gw3Y4JNNrYRAnoDe4AfgCnAAaC3ql76ySij5AgOpvGKLQz1b8/E9ROp0zSG6dPbcN11N/DBBx8U6GG6K93u3btZuvQ30tIe4Pnnvflu82ROxp/k+W4vwmU8b2aUTibY5KKqh1X1NlUNVtUyqnqzqh50db4MB/P2hn37GHvXVySkJPB5xOcMHgyvv/4yp0+fZuLEia7OodubOHEiIj7UqXMf1w5I5d2/3qVj9Y70vO0pGDjQ1dkz3IwJNsaVS4QWlVrQv35/Pln/CUmpSURGtqdSpet4//33CzTMx5Xq/PnzfP31ZFQH8/TTlTh87gApaSk859cH2b/f1dkz3JAJNsaVKy0NunXjld1VeKv3W4gI585BVNRLREdHM3XqVFfn0G19++23JCScp06dRxk1ChqGNuTfB3dx40MfW5MbGUYuZrgaBzLD1ZRA//kPtGljTR6CNclVjRpKUlJT2revxooVK1ycQfeTlpZG48aNqVy5Mn/+uZqYC9EE+wZbM2weOGBNyFS/vquzaRSSGa7GMJzp009hzBgSUhL4cO2HbIpey733CnFxQ/jjjz84fvy4q3PodhYsWMC///7LI488jgg8seQJWn7WknRNh7p1TaAx7DLBxjDS0pBTp/i/8P9j/u753H8/wBBUlRkzZrg6d27nf//7EE/PmsyZcwsAI68aydOdn8LjxZfg779dnDvDXRVpSFYR6QRcC3QCqgH+QDSwG1gJzFVVM+6HUTL06IF/QAA7Zu+gclBlAMaObcL06a2ZNm0ajz32mIsz6D42bdrEypV/AP/l9tutr4++9fta8xZ/1Bhq14YOV9a8NUbBFKpmIyKjRGQr8BfwBNYMlnuBdVhjh3UEvgKOichk28RjhuHeHnoI7r8/M9Ckpqcyfjzcf/8Q1q5dy4EDB1ycQfcxYcIEPD0DqFjxXgYMTOW1P16zRnauXh1iYmDECFdn0XBTBQ42IrIFGI8173E7oJyqdrc9kzJcVQeoalOsQSvHAJWAHSJyhzMybhgOc+edcNttALz313u0+LQFaelp9Olj/elOnz7dlblzG6dOnWLq1Kmkp49i9OjyLDu4iNdXvs6GyA1WAl9fCAhwbSYNt1WYms3XQF1VHauqGzWfbmyqelZVp6jqAKxmtjMOyKdhONepU7BqFXXK1WF3zG4W71vM7Nl1gM58//1Prs6dW/jqq69ITk5G9RHuvRe+3vg1lQMrc325DtCnD6xZ4+osGm6swMFGVSeoamJhTq6qm1V1SeGzZRjF7Kmn4JZbuKnBQKoEVeGziM8YNQpgCDt2bGbnzp2uzqFLpaam8tlnn9GnTx/+/rspAZUiWbBnAaNajcI78iRERYGPj6uzabixQvdGExEvEWkjImWdkSHDcImxY2HpUry9fbm79d0s2reIMtWO067dYECYNu1nV+fQpebPn8+RI0d4+OGHad8evt/8PWmaxj1t7rGeU9q6Fdq1c3U2DTd2yWAjIr1FJEZEokWkB1bngOnAftu6YZR8zZtbX5oi3NX6LtI1nR82/8B991UFevLdd9O4kh+A/uSTTwgOrsU//wxEVflm0zd0rdWVxiEN4Qr+vRgFV5CazdtAH2AQMBN4SVUbAgOBN52YN8MoXtu2wXvv0Si0EV1qdmHy5skMHqx4e9/JoUO72bRpk6tz6BJHjx5lxYoVJCbex/HjXvx5+E/2xOxhdJvRsHw51Kxp1WwM4yIKEmx8VHWTqv4BnFPV3wBUdQ0Q5MzMGUax+v13eP55OHaMu1rfxa7oXeyOX8eOHbfi5eXFtGlX5syTK1euBCA5eQAjR1odA8r4lGFws8EQHAxdukCDBi7OpeHuChJssqf5Jdc+TwfmxTBca9Qoq1da9erc3vx2/L38mbxpMg0ahNKvXz+mTbsym9JWrlyJl1dZata8ilYdzjFjxwzubHEngT6B0LEj/Pwz+Pu7OpuGmytIsNklIsEAqvpkxkbbdMlmDHaj9AgOhnLlrB99gxnUbBDTt08nJS2F+Pg7OXz4MGuuwO69K1asJDW1GyNGeHIhNZ47W9zJmHZjIDYWzpxxdfaMEuKSwUZVh6jqOTu7TgDXOz5LhuFCGzbAoEFw+jSv9XyNTQ9swtvTm6uuuhHw5Ycfrqyx0iIjI/n33z20a9eDESOgapmqfHXjV4RVC4PPP4dKleD0aVdn0ygBijwQp6ommvHPjFInORnWroV9+6hXvh61ytYCYOTIYKA/P/88k/T0dNfmsRiFh4cD8NlnPShf4yQRxyOymhIHDIB334WQEBfm0CgpLmvUZxGpKSJX27pH51gclUHDKFYdO8KRI5mDSW6L2sb1U6+nUoMjVKw4iNjYo6xfv97FmSw+M2f+SlBQWVq3bsM3G7+h/ZftrbHQAFq1AjNIqVFARR31uR4wBcgY3lVsr2r7WTGdB4ySSCTrZ1UCvAPYenIr+8/8y4gRN/DBB958//1MOnbs6Lo8FpP4+HjmzZtDcvIQTpzw4oGwB2hasSm1y9WGzZutSdJat875OzOMfBRppk4RWQE0xhqYcxeQnDuNqq687NyVMGamzlJi5064/XaYMAF690ZVERF27YKbb76eCxd2cPDgfqSUf8n+9NNPDB06lKZNf2fHjp45dw4aZI2FdvSoCTalhLNn6ixSzQZoD9ylqrMcmRnDcAu1akGVKuBhtTKLCKnpqVSrm8DYsYO455572LBhA+1K+fAsX345BajB3Xd3Z+LfE/H29Oa+dvdZOz/9FPbtM4HGKLCi3rM5ip3ajGGUCoGBsHQp9OwJQHJaMvUm1OP/Vv4f/frdhKenF5Mnz3RtHp3s1KlTrFy5GBjGbYOUN1e9yaJ9i7ISVKoEV1/tsvwZJU9Rg83bwFgRCXRkZgzDrSQlwfnz+Hj60LZqW6Zum8rZc2VJS+vNtGkzS/UDnj///DPp6Wm0bDmMf9NXcCLuBMNbDrd2/vADzJnj2gwaJU6Rgo2q/oA1/fNBEZkvIt/nWr5zbDYNo5idPQsVK1rNRcDwq4Zz/PxxIn3/oEaNQURH72Pz5s0uzqTzTJkyhRYtrmLWrJb8uPVHyvqW5fpGtsfqPv4Yvv3WtRk0SpwiBRsRuQt4HigHtAW62VkMo+QqWxaeeQa6WX/KAxsNJNg3mB+2/MCIEbcAnnzzTelsStu3bx9r165l5MjhVKsdz+ydsxncbDB+Xn5WgjVr4JtvXJtJo8QpajPa68AcoKKqVlfVurmWeg7Mo2G4xssvZ96X8PPyY3CzwczaOYvbhwYCPfn55xmlsiltxgxrlARf3zuZt3secclxDL9qeFYCT0+oUMFFuTNKqqIGm1DgU1U948C8GIb7OXjQ6gqN1ZQWlxzHLn6hWrVBREXtYfv27a7NnxPMnLkACCMlpQY/bv2RmsE16Vbb1lhx332mVmMUSVGDzZ9AU0dmxDDcjip07WrVcIDutbtTI7gGP275kaVLb0FEmDmzdDWlRUdHs3HjGuB6eg6IZsm+JQxrOQwP8YCUFNixA44dc3U2jRKoqMHmMWCMiAwTkVAR8ci9ODKThuESIjB5MowfD4CHeDCs5TAW71tMxdoedO/ePbPJqbRYvHgxqkrz5gP569xPpGlaVhOatzf8+Se89JJrM2mUSEUNCjuBlsD3QBSQkmsxz+AYpcM11+SYGGz4VcNJ0zQW7FmAv/8gduzYwU5bM1tpMG3aAqAKd93VliYVmvBw+4dpXqm5tTPj/pR5kNMogqKOIPAG1vhnhlH6LV8OcXFw0020qNSCzQ9spmWllmxqFMnixY/w/fezGDeu5P+3n5KSQnj4YmrUuI3bb/egVq2+9K3f19qZmgqNG8PYsdZ9G8MopAKPjSYiV6vqX07OT4lmxkYrpfr3h6go2Lgxx+ZNm6BNm67UqBHHkSObXJI1R1q5ciU9e/Zk9uzZVGxXkdpla1OzbE1rZ0wMPPUU3HEHXHedazNqOIU7jY22SkSigPlY3Z6Xq6ppLjNKv0mTrOFZbNI1nQcXPEjDkEaEhg7i6NEn2Lt3Lw0bNnRhJi/fzJnz8fb2pk+fPrSd3Ja65euydMRSa2doqHX/yjCKqDD3bKpjPV9TEyvYnBKR6SJyZ8a00YZRKtWuDf7+mase4kFUQhSnE2MYPPhWAH78sWSPSauqTJs2m5SUvpw8GcyS4Ut4t++7WQliYlyXOaNUKOoUA2WwpoS+CbgO8McavmYO8IuqHndkJksK04xWik2ZAnv2wOuvA2ROO7BpE1x3XScqVUpl8+aS+95njGJdocI3REXdnbMPQGQkVK8OX34Jo0e7LI+Gczm7Ga2oY6OdV9VpqnonUBEr6PwLvAQcEZG/ReR5B+bTMFxr3TqYP9+aMAwy57Kp2uAkTz01iC1b/uHAgQOuzOFlmTJlBuDFLbcOZOTcEaw7ui5rp5cXvPWW9cyRYRTRZT8Po6opqrpYVR9U1epAF2AFMOKyc2cY7uK992DDhsw5bgCeXPIkLT9rycAbbwLgp59KZlOaqjJ16kygN3W67OXHLT8SnRCdlaBiRXj+eas3mmEUUYGDjYg0K0g6VV2rqs+paoHSF5WINBKRCSKyRUTiRCRSROaJSKt80o8RkV0ikiQiu0XkgXzS3SwiG0UkUUQOichLImKmuL7S+fjk2dS9dndOJZxi7rpYoB2TJ5fMBzy3bNnCiRP7CAgYxEbfj6kQUIF+9ftZO1NTITzcGj3AMC5DYWo220QkSkRmi8hjItJGXDsvbj+gF/AdcAPwH6wmvbUikmMKRREZA3wBzAKuBWYAn4rIg7nS9belWY91L2oCVtPg204tiVEyfPGF9ZCn7T7ndQ2uo5xfObb5fYaf32D27v2bQ4cOuTiThTdz5kw8PDz4/OtrWLBvLkOaD8Hb09vauXYt9OgBv/zi2kwaJV5hgs0jWM1jHYH/ARHAaRFZICLPikinYq4BTANaqer7qvq7qs7BCiSJWMPpACAiXsBbwA+q+qIt7UvAZOD/RMQ72znHA3+q6n22dB9gBZonRKRKMZXLcFc+PhAQAAkJAPh6+TKo6SB+2TeTnr2sprRZs2a7MoeFpqrMmDGDnj17ktr4DxJTE3OO8NyqFcyaBX37ui6TRqlQ4GCjqhNVdYjtvkwj4D5gHtAM60t6NXBGRJaKiNMfp1bVaM3VlU5VzwJ7sLppZ+iMVeP5MdcpfsAavborgIjUBFrnk84bq6ZjXMnuvhvmzbOmjbYZ2nIocclxNOgRC7QucdNF79ixg927d1Ojxm38uPVHGoQ0oEP1DlkJypSBW2+15vcxjMtQ1N5o+1T1a1UdZZu7piZWh4DlQG+s53GKnYiEAC2wxm7LYBvYiW25kmeMDd/sYulU9QCQkC2dcaVLSsr8sXvt7lQvU519oR8jMoitW/8iMjLShZkrnBkzZgLC3v0D+P3A7wxvOTyzpx1RUfDVV3D6tEvzaJQOl9UbTURqichw4FXgFeBGIB5Y5oC8FcXHgAAfZtsWYnuNzZX2dK79+aXL2BZiZ7txpfnsM6t3Vnw8AJ4engxpMYTlkTP5/JseAPz222+uzGGhWF2eu1Gl414UZdhVw7J2LlsGY8bA4cMuy59RehQq2Nh6gN0rIt+LyAHgIPAe1hfxZ0B7oJyq9i9sRkTkGhHRAix/5HP888BQ4GFV3VfY6xeViNwnIhEiEnHq1KniuqzhKm3awP33w4ULmZuGtRxGSnoK2mI7VapUYfHixS7MYMHt3LmTffu2A4PYGfpfOtXoRIOQrBGuufNO2LbNum9jXAkqZHyX2RaHjrha4LHRRCQSqIT18OZq4P+AVaq610F5+YuCTciWYCdvD2DdyH9JVXNPI5hRUykPZG/fyKipnLaTLrfy2dLloKqTgElgjSBwqcwbJVynTtaSTesqrWlSoQm/7FhIhQrXsmDBPNLS0vD0dO8e87NmWc8FtWx5C3f1TKFW2Vo5E4hA8+Z2jjRKqWh3GYizMtYX/U6s+x3bAYc9Mq2qCcCuwh4nIiOAT4H3VfUtO0ky7s00J2ewybgHs8NOujXZzl8HCMiWzrjSqVpTRTdtCiKICPPvnE+tsrWo+/wc4uImExERQceOHV2d04uaMWMmgYFXM3hwDZ7s/GTOnRs2wE8/wTPP5BiE1DCKqjDNaFWAu4BDwHCyep8tF5HXRKSPiAQ4IY/5EpFbgG+Br1T16XySrQGigWG5tg/Hqq2sBlDVw8DmfNKlAIsclG2jpPvhB+s//h1Z/380CGmAj6cPt912DeDB3Lnu3ZR28uRJtmzZzIsvDqTejT8RlxyXM8HGjfDpp3YfZjWMoihM1+coVZ2pqo+qamusbsN3Av9gPd+yCCv4rBORdy9yKocQke7AT1gBYrLtOZ+MpU22fKcALwOjRORNEekpIm8A9wCv5Jom4QWgh4h8YUv3BNZDnRNU9YSzy2SUEP36WYNSVquWY/PXG75mU4X3gA7MmuXewSY8PByAck3KMXzuUBbsWZAzwejR1kjP5coVf+aMUqnIvdFU9ayqzlfVZ1W1E9AdWAiEAU9e/GiH6A34Am2xaidrsi1zcuX1c+BB4HZgCVaQfFhVJ+ZKtxAYBHSypXsC617Qc84sSEk1efJkxNaMJCKUKVOGVq1a8cknn5CamgpAz549ERGuvvpqu+e4++67ERFq1KhRnFm/PFWqwL33Qvmct/cSUxPxqb2BgID+7Nv3NzFuPCz/8uUrgUA0cjSr71nNjY1vzJvIz6/Y82WUYqpa6AUrSGUElblYzVRpQDpwAphelPOW9KVdu3Z6Jfn2228V0BkzZuiaNWt0yZIleu+99yqgL7/8sqqq9ujRQ8uUKaOA7t27N8fx8fHxGhQUpGXKlNHq1au7oghFd+6c6syZ1msud9yxVgGdNm2aCzJWMLVqtVDoq8uW2dk5bZrqDTeonj5d7PkyXAeIUCd+PxZmIM6uIvKCiCzG6rm1Dqvbc1tgMfAA0FRVq6jq7Q6JhEaJ0Lp1azp16kS/fv348ssv6dmzJxMmTMjcf9VVV9GgQQN+/DHn4AyzZ1tDu/TvX+ie8q63cSMMGmQ9i5LL+1/UICQkxG27QEdHR3P48Da8fboxI+4RziaezZkgIQGio00TmuFQhWlGCwfeBOoDM7HuedRT1VqqOlxVv1TV3c7IpFGytG/fnnPnzhEVFZW5bcSIEXmCzffff8+tt95KYLbhX0qMzp2t0ZAHDsyx+bd/f6PWhFq07dqWRYsWZ7QEuJU//rDdr2kUwty9MwjyCcqZ4O674a+/wKXj7BqlTWGCzVCghqo2VNXRqvqdqh50Ur6MEuzAgQN4enoSFJT1JTZixAj279/PX3/9BcDx48dZvnw5I0eOdFU2L4+3N3TrZr1m07lGZ3w8fdh5sD0nT55g06bNLspg/j79dBpQgZjGqxnSYgieHtmeB7LdazMMRytMb7RpWsDpnkUk6NKpjEw9e8LkydbPKSnWekYtICHBWv/5Z2v97Flr3dYERXS0tT5/vrV+4oS1ntGEc+SItZ7R3LN/v7W+cqW1vvvyK6NpaWmkpqYSGxvLF198wezZsxk4cCABAVk94evWrUvXrl35/vvvAfjxxx+pXr06vXr1uuzru8ypUzBuHOzNeq65jG8Zbmx8I7HVrc4B333nXk1psbGxrF49j7rNryG94a8MbTk0Z4LXX7e6dZv5awwHK1JvNBH56CL7grB6chlXiCZNmuDt7U1ISAj/+c9/GDZsGN98k3sgBxg5ciTTp08nKSmJ77//nmHDhuHhUeQOka6XkgIvvmg1p2UztMVQEprOB1ozb557BZvp06eTnJxEhcH/Ur9qRdpXa58zQcuWcN11eWpshnHZitKrADgPPG9newDwJ3DYmb0a3HW5UnujzZkzR9evX6+7du3SCxcu5EjTo0cP7dKli6qqnjlzRv38/PSFF15QQHfs2KGqqqNGjSp5vdEynDqVZ1NSapKWH19e/crdryJeevbsWRdkzL6wsKu1Wo3Gyos++vKKl12dHcON4C690XIZDLwmIndnbLCNHrAYqIs1g6ZxhWjRogVhYWE0btwYv4s8m1G2bFluuukmxo8fT1hYGE2bFmQoPDdXoUKeTT6ePgxqNoiU+smopjJz5nIXZCyvvXv3EhHxF8eP3gPxVbizxZ05E0RG5hhg1DAcqajz2SwGxgCfi8hAEfHHGkGgAdBTVf91YB6NUuThhx/mhhtu4Nlnn3V1VhwjJgbuugsW5RzNaGjLoaR1+h0fvyD++GOB/WOL2ZQpUwAP/Kp2ok2TUJpWzBXsn3zSul/jhj3ojJKvMANx5qCq39umSp4ObAVqYwUaR40CbZRCXbt2pWvXrq7OhuMEB8OqVdClS47N3Wt3p3q9FGhblsWL57vFKNBz5swHOpPYaEXejgFgTZ0wcKDp8mw4RWEe6vTIvWA91PkVVtNZX2BPtn2GUfp5e8O+fdYkY9l4iAd3triTqAopnDp1ihUr1uRzguIRGRnJli0bgOsZeXt5hrQYkjdRz54wLPc4tIbhGKIFrDKLSDqQX2LJtU9Vtci1ppIqLCxMIyIiXJ0Nw1VUc9QKouKjWLY4mWGD6nPTTY8wd+57LsvaN998w+jRo6lceTORkVflrbysWQOhodCokUvyZ7ieiPyjbjKfzRvkH2wM48qVlAS9esEtt1jzv9hUCqzE4BthlFdvVqyYi+q7iIuaqBYuXEjlqpV5b1osaZqKl+T66D/6qDWdwOrVLsmfUfoVONio6mtOzIdhlFy+vtCwod1Jxrac+gffGo04f3AxW7fu4Kqrin/my5SUFH777TfqdavHPSv7MqD9CUL8Q3Immj4dTtudjNYwHMLcWzEMR/juOxg1Ks/m8v7lCe5kTZk0ceLcYs6UZfXq1Zw/f55aXi+xYtSKvIEGoG5daNeu+DNnXDEK00FgXvZJyQqQ3k9EnhSRB4qWNcMoYdLS4MyZHJvqla/Hjs8+Q6QjS5b84pJs/frrQsAbL8/+dK1lpyfgN9/YHb3aMBypMDWbg8Ba20ycj4pIW5GcDb8iUk1EbhaRr4FIYDSwwXHZNQw3pQpNm8JTT+XZVa4cvPDS9Rw6tJ5jx44Ve9Zmz14IdMf/qlV5d6pa46HlGpHbMBytMANxPgo0A/4GXgPWA4kiclpEIkXkAnAEmA00Bx4HrlLVvx2dacNwOyLWTfabbsqzKz45no/irZnS582bV6zZOnToEPv3bwfpT1LdOXkTiMCePfDf/xZrvowrT6G6J9tGBnhERJ4COgMdgWqAHxAD7ALCVfWQozNqGG7v4Yftbg70CaRj854s997ERx/N5cEHHyy2LC1cuND6oVoFhndsaD+Rr6/dzg2G4UhFehZGVZOBlbbFMIwMUVHW0qJFjs0j2g1imXcou3dP4ezZs5QtW7ZYsrNgwUK8/asiHddybYMJeRM89BB07w533FEs+TGuXKY3mmE40oABYKfmclPjm5BGvqimMH36IjsHOl5iYiK//74cjzanGTwsHj+vXIOkJiXBn3/mmI/HMJzlinvK3zCc6r33wE6tpaxfWa6+xZ/Vmyrz9ddzGDPGznAxDvbHH39w4cIFqAO3N789bwJfX9i8GdLTnZ4XwzA1G6NIfvrpJ0SE8FwTh508eRIRoXLlynmOmThxIiLCtm3bSE9P59tvv6VDhw6UL1+ewMBA6tevz5AhQ/j777x9StasWcOQIUOoUaMGPj4+BAcH0759e15++WUiIyPzpI+OjubFF1+kZcuWBAUF4efnR/369Rk5ciR//PGHw34PefTsCW3sPyFw7w1twKsPEf8sIjk52Xl5sJk161fAH++TL9Kvfr/8E5bkCeyMEsP8lRlF0r17d4A8wSY8PJyAgACioqLYtWtXnn2hoaE0b96cp59+mjFjxtC9e3emTJnC3LlzefLJJ4mOjmbdunU5jnv//ffp0qULp06d4s0332TZsmVMmzaN/v37M2nSJO65554c6bdt20arVq349ttvufPOO5k9ezaLFi3imWeeYf/+/fTq1YuTJ0864bdi8/ffMGtWns03N70RaZlIWup55wY8rEkR585dAFxDn34eeZvQ0tKgdeus6cgNw9mcOTPblbZcaTN11q9fX/v27Ztj28MPP6wDBw7U+vXr6xdffJFjX9WqVfWmm27ShIQE9fHx0ccff9zuedPS0jJ/XrFihYpIvmnj4uL022+/zVxPTk7Whg0basOGDTUqKsruMVOmTNGYmJiCFLFo7rhDtUYN1fT0PLv6f9tfxUf0wQcfdN71VXXbtm0KKL7jde6OeXkTREer3nab6ty5Ts2HUXLgjjN1ikhrEXlaRD4WkQki8qyIdHRsGDTcXffu3VmzZg2pqamZ28LDw+nWrRtdu3bNUevZu3cvkZGR9OjRg/j4eJKTk6lSpYrd83pka9Z55513qFChAu+8847dtIGBgdx1112Z67NmzWLv3r288847VKxY0e4xQ4cOJSTEzpAtjvLOO7B1q915YYa0HoLW8eTnGXNQJ05SNnfurwDU71SPaxvaaUILDYWZM+0+F2QYTlGYyARUxZr6OQ1Iz7WkARFAg2zpGzszUrrbcqXVbL799lsFdN26daqqGhsbqx4eHvrXX3/pV199pbVq1cpM+9VXXymgERERqqpat25drVChgn722Wd66NAhu+dPSUlRPz8/HTp0aIHzdO+996qnp6cmJCRcRsmc51ziOW3e6jPb7+Ifp12nefNuCq114cJ8Epw/77RrGyUTTq7ZFLg3moiUBf4AKgDPAfOwhrABqAPcBDyLNaRNS6AWsACw/++lkann5J6XTDOw0UCevvrpzPR3tb6Lu1rfRXRCNIOmD7rk8bnTP9X5KW5ofAO7o3fTuELjIuW7R48egFWb6dChA6tWrcLX15d27doRGhrK4cOHOXjwIHXq1CE8PJzg4GBat24NwNSpUxkyZEjmA47VqlXj2muv5f7776dDhw4AxMTEkJiYSK1atfJcO3ttCsDLy/pTPnr0KBUrVsTf3z/H/vT0dNKz9bry9PR07nD/8+fDunXw5ps5NpfxLcP9owfx6KMP8cUXvzBpUluHX/r06dPs2vUX/W58kJ49FWu6qWxOnIBateDLL+0OHmoYzlCYZrTngLJAW1V9V1V3q2qSbdmtqv8F2gOpwFxgGbDN4Tk23EbdunWpUaNGZnNZeHg4HTt2xMfHh0aNGlGpUqUc+7p06ZI5NXKnTp3YvXs3ixYt4qmnnqJOnTp89913dO7cme+///6i1z1x4gTe3t45ltzBJ7cBAwbkSP/111874DdwEX//bY03lpSUZ1fna+OBLsyeO9Mpl16yZAlpaWn8Wf0bPH1S7Cd65hlo394p1zcMuwpaBcIaiubxAqR7AqtZ7QfA25nVMndbrrRmNFXVoUOHavny5TU9PV07dOigL7/8cua+W2+9VUePHq1HjhxRQMeNG3fRc+3evVurVaumoaGhqpp/M1pKSoquX79e169fr2PGjFFAU1JSVNVqRvPy8srTjLZnzx5dv369zps3TwH98ssvHVH8/F24YLeDgKpqTEKMeoY8qoAeOHDA4ZceOHC4+gdU0Jl//+HwcxulF27UQaA28E8B0v1jxTAdoar5/FtllBY9evQgNjaWtWvXsmHDBrp165a5r1u3boSHh7NypTWqUUZ36fw0atSIO+64g5iYGKKiovDy8qJ79+4sXbo0x3MpXl5ehIWFERYWRrVq1XKco3fv3qSmprJ48eIc2xs2bEhYWBgtW7a83CIXjJ+f3Q4CACH+ITxxz0MAfP+9YwfmTEtLY8WKxSReuI6e9XrkTZCaChs2mAc5jWJXmGATDxSkC0954EyRcmOUOBkBZPz48agqnTt3ztzXtWtX9u7dy/Tp0wkICKC9rdkmJSWFmJgYu+fbtWsX/v7+mWOHPfvss0RHRzN27NgC5ee2226jfv36jB07llOnTl1O0S7fTz9Bnz52v9iffroR9eo15Y+Vcx16yYiICBISoqlS52pCQ+0kWLfOmiRtrmOvaxiXUpjhav4GRgCXmgFqpC2tcQVo0qQJlSpVYv78+bRr146goKDMfW3atCEoKIj58+fTq1cvvL29ATh79ix16tThjjvu4JprrqFGjRrExMQwbdo0Fi1axLPPPouvry8Affr0Yfz48Tz33HNs2bKFkSNHUrduXRITE9mzZw/Tpk0jMDAw82a/j48Ps2fPpn///rRu3ZqHHnqI9u3b4+Pjw4kTJ5hle9iyTJkyxfMLUrWmW65QIcfmsqGJRNc9xsE/dnPmzBnKlSvnkMv9+OMCwIPgsLz3igBo1syaVbR3b4dczzAKrKDtbUA/rHsx7wE+dvb72PalAf2c2fbnrsuVeM9GVXXQoEEK6BNPPJFnX9++fRXQ1157LXNbUlKS/ve//9W+fftq9erV1dvbW8uUKaOdOnXSL774QtPt3Ov4888/dfDgwVqtWrXM9GFhYfrKK6/o8ePH86SPiorS5557Tps3b67+/v7q6+ur9erV05EjR+rKlSsd+wsoogajB9juH/3osHNWrtZSoYuO/2Wmw85pXBlw8j0bsa5RMCLyAvB/WHPXLCVn1+e+WN2iX1XV/7vMGFgihYWFaUREhKuzYbib1FTwytuI8OAnU/n8kadp3a4tGyMWXPZlTpw4QdWqVaHMfzh14nUqBOSsTXHqlDX98/XXQ3DwZV/PKF1E5B9VDXPW+Qs1goCqvg1cg9UJ4Gbgedtys23bNVdqoDEMu6ZOtZrQTp/Os+vRwe3BcwCbNy4jLi7usi+V0Smi3VN/5w00AAsXwtChcODAZV/LMAqr0MPVqOrvqnodEAxUsS3Bqnqdqq5wdAYNo0Rr0gTuvBMuXMizq2nlhgQ2qoumJzF//sLLvtS02T9DGRjRf7j9BMOHWx0Errrqsq9lGIVV5FGfVTVNVaNsS5ojM2UYpUbbtvDZZ1C9ut3d/W6rDVRm4mc/XdZlUlJSWLrwT5B+3NL0FvuJPD2hQ4d8u2QbhjOZKQYMozgcPGi3C/Sjw5uCby/WrVtMQkJCkU+/cuVfpKfFEVStDbXK5h3eh40b4bXXIJ8u54bhbCbYGIazzZ4NdetaX/i5dG/Uhgp3LyM1OTHPg6iF8dGnswBvBtzexH6Cv/6CcePsdlQwjOJQaoKNiAwRERWRo/nsHyMiu0QkSUR2i8gD+aS7WUQ2ikiiiBwSkZdExNO5uTdKtW7d4H//gxo18uzyEA8GXTcIAoQpU6cX+RIrVywDj6t57t58Zvp46CGrN5qdKasNoziUimAjIuWAD4ET+ewfA3wBzAKuBWYAn4rIg7nS9belWQ9cB0wAXgLedlLWjStBxYrw+ONgZ6psgAfDHsM3fTgLf/3tkgOK2rNjxz7Ond1JuzY30aZm0/wTmu7OhguVimAD/BfYDCzJvUNEvIC3gB9U9UVbb7qXgMnA/4mId7bk44E/VfU+W7oPsALNEyJif6YvwyiIxERYsgTOnMmz66pqTWjW9GYSE2P588/VhT719JnTAHjppdvsJ5g82erybKdHnGEUlxIfbESkCzAceCifJJ2x5tT5Mdf2H4BQoKvtPDWB1vmk88aq6RhG0WzaBNdeC/ncl7nu9uaAD19+ObfQp54y4zuoDtXbn7SfIDYWjhyBXHP8GEZxKtHBxlYrmQS8q6r78knW3Paae26d7bbXZhdLp6oHgIRs6Qyj8Nq3tx6qvPFGu7vrdt0B9GLBr79QmFE9du48yL5t++jdbyCtq7S2n+iJJ2DVqsLn2TAcqEQHG2As4AuMu0iajJGqY3NtP51rf37pMrbZHfFaRO4TkQgRiXD5KMPFbPLkyYhI5uLj40P9+vV54YUXSExMzJE2Ojqa559/nubNmxMYGEhAQAAtW7bkueeeIzIyMjPdyZMnefTRR2nUqBH+/v5UqFCBdu3a8dhjj5GUbSKynj170rVr1zx5+umnnxCRzEnbsp9XRKhs577JxIkTERG2bXPiXH+ennDddRAQYHf38E7X0bjJDZw7e4Bdu3YX+LTjx1sDi97dewLent55ExThHpBxxaqQ8V1mW+5z5Mndph+kiFyDNd7apaxU1Z4i0gB4EbhFVRMvdZCzqOokrNoVYWFhBf+XtBSZMWMGNWrU4Pz588yZM4dx48Zx/vx5Pv74YwB27NhBv379UFUeffRRwsKs4Zc2btzIF198we7du5kzZw7nzp2jY8eOeHh48Mwzz9CkSRNOnz7Npk2bmDJlCq+//nrmaND5yZjyIDw8PMf8OeHh4QQEBBAVFcWuXbto0qRJjn2hoaE0b948z/kc6swZ+OEHuOYaaJrzRr6flx9vvXkjgwY9zLx582jaNJ8uzLn8Mv9nPD3bcMvgavYTjBkDx47Bb79dZuaNK0C0M8dGc5tgA/wFXKQrTaaMJ98+AlYAa2290cAaeVps60mqeoGsmkp5IDLbeTJqKhk1nOzpciufLZ2RS+vWrWnQoAEAffv2Ze/evXzzzTdMmDCB9PR0brvtNvz8/Pjrr7+oVKlS5nF9+vTh8ccfZ9GiRQDMnDmTQ4cOsWnTJlq1apWZ7rbbbuONN94oUF6qV69O/fr189RswsPD6d27Nzt37iQ8PDxHsFm1ahVdu3bNnKbAaVJTrV5p77+fJ9gAVO1whICaAcz6ZSZjxz57ydPt2HGEs7HrocZALqTFEYhf3kTt20P9+g7IvGFcHrcJNqqagDX1dEE1w5o9NL9mrwnA42Tdm2lOzmCTcQ9mh+01e7o1GYlEpA4QkC2dcQlt27Zl2bJlREdHs3LlSnbt2sWMGTNyBJoMXl5e3HDDDQCctg1WWaVK3o5/hQkE3bt3Z8aMGaSmpuJle4gxPDycYcOGERoaSnh4OPfdZ7UQ7N27l8jISHr0sDOrpaNVqGCNJFCzpt3dIf4hJFT2Z/3afzh58hSVK1e86OnGjZsNQMMBAfYH3gT4z38uJ8eG4TAl+Z7NEKBXrmUJEG37+RNbujW2bcNyHT8cq7ayGkBVD2N1n7aXLgVY5PASlFIHDx6kbNmyhIaGsnTpUjw9PRkwYMAlj+vQoQMAQ4YMYcmSJcTHxxfp+t27dycuLo4NGzYAcObMGbZt20a3bt3o1q0bq7LdLM+oAV1qymqHySfQADQObUy5Sv1A0/noo0sPzLls+TTwaMKooa3tJzh40NyzMdyG29RsCktV1+beJiJ3YTWf/ZEtXYqIvIz1EOcxYBnQG7gHeERVk7Od4gVggYh8AfwEtMF6qHOCqtp9YNQRevbMu+32261/ShMSwN739F13WUt0NAwalHf/gw/CHXdYPV5HjMi7/6mn4IYbYPduaNz48vKflpZGampq5j2bWbNm8eGHH+Lp6cmRI0eoWLEiAfncGM+ue/fuvP7667z55ptce+21eHp60rp1awYOHMjjjz9e4NksM2op4eHhdOjQgVWrVuHr60u7du0IDQ3l8OHDHDx4kDp16hAeHk5wcDCtW7e+jN9AIaSkWL3DOnSAkSNz7BIR7rinGl8srMpP0+bx1luj8j3NoUOHOBG5Frr7cGOTgfYTDRwI9erBvHmOLIFhFElJrtkUmKp+DjwI3I5V+7kTeFhVJ+ZKtxAYBHSypXsC66HO54o1wyVMkyZN8Pb2JiQkhNGjR3P//ffz8MMPF+lcr7zyCocPH+arr75ixIgRxMTE8Prrr9OiRQtOnsznOZJc6tatS40aNTJrLeHh4XTs2BEfHx8aNWpEpUqVcuzr0qULnp7FNCKRtzf8/Tf8+6/d3be17g/lm3Bg/1Li45PtpgGYMmUqANV6VKBFpRZ5E6jCG29AEd8Hw3A4Z04DeqUtV9q00N9++60COmfOHF2/fr0uXLhQr7nmGgX0u+++U1XVMWPGqKenp8bHxxf5Op988okC+tRTT2Vu69Gjh3bp0iXfY4YOHarly5fX9PR07dChg7788suZ+2699VYdPXq0HjlyRAEdN25ckfNWJHamvc6QmJKoXj2uVkDffnt5Poena1BQU6VMff3Pgv84K5fGFQYnTwt9RdRsDOdq0aIFYWFhXHfddSxYsIBGjRrxzDPPEB8fzzXXXENaWlpmj7OieOihhyhfvjw7dhS8j0aPHj2IjY1l7dq1bNiwgW7dumXu69atG+Hh4axcuRIoxvs1GTI6O9h5eNPXy5f+IyoDvixfPt/u4StWbCIubidUbs7ARvk0oc2dCyec1vJrGIVmgo3hUL6+vrz77rtERUXx6aefcuutt9K4cWPGjh2LvYdeU1NT+fXXXwHrwct0O3O+REZGcvbsWapWrVrgfGQEkPHjx6OqdO7cOXNf165d2bt3L9OnTycgIID27dsXtpiXb9QoawZPO25tOxDqJ7H3wGy7+8eNmwJ449v7ML3q9sqb4PRp60beJ5/k3WcYLlJiOwgY7uvGG2+kffv2vP/++zz88MPMnj2bvn370rp1ax577LHMhzo3b97MpEmTaNKkCddffz0//PADkyZNYtiwYXTo0IGAgAD27NnD+++/j4+PDw89lHP4u5iYGGbOnJnn+ldddRVNmjShUqVKzJ8/n3bt2hEUFJS5v02bNgQFBTF//nx69eqFt7edJ++drXFjq7OAHQMaDoBGcHjRYTZs2EPbto0y96WlpbFq1VS8/Hpyba8A/LzsPFtTvjxs3mymEzDcizPb6K605Uq9Z7N37948+5YsWaKAfvDBB6qqeurUKR07dqw2bdpU/f391c/PT1u2bKkvvPCCnjx5UlVVd+zYoY8//ri2bt1aQ0JC1MvLS6tUqaK33Xab/vPPPznO36NHDwXsLu+++66qqg4aNEgBfeKJJ/Lkr2/fvgroa6+95uhfi0M8MuURBbRZsw9ybJ86dakCescdMzQxJdFFuTNKI5x8z0bUTruxUTRhYWEaERHh6mwYJYUqHD8O1avb3V2hQnNOn67KqVPLCA21tt15593MmTObDRtO0qyZnVrNuXPw+utW33fbqA6GURAi8o86cbgac8/GMFzlkUegTRtIS8uzS1W5undnVFcxdar1cGtSUhKLFs2hQocyfH/8Nfvn3LjRuldjOgcYbsYEG8Nwldtvh/Hj7QcblFXlZgPJTJr0BwBTpy7n7NmztOrRjipB+czl16OHNf1ztg4RhuEOTDOaA5lmNMORlu5eyoCWN5Oacg+HD3/MwIH3sGXLbA4cOEmdOhcf/dowCss0oxlGaRYXBzNm2K3d9G3cl+7delGx4gI2bFjCtm2/ULXaDdSqnU/vuUWLrDGIIiPt7zcMFzLBxjBcafFiqznNzkyax88fp3KHYE6dOsjNN19LevppKnYsR50P69g/19mzcPSoNbq0YbgZE2wMw5UGDICVKyHbCAcZDp89zE8+P/H29xNo0GA1sIEK1x+gclDe2UYBGDLE6iDgiueGDOMSTLAxDFcKCIDu3a1po3OpW64ueIBPTV+qVbua8ePbcDLpIDWD7UxTEB9vd/gbw3AXJtgYhqudPQtvvgnr1uXYXCmwEv5e/kQm72XlShg7Fo6eO0qN4Bp5z3HPPfbnqjAMN2GGqzEMV/P2hnfeAR8f6Ngxc7OIUCO4BkfPHQXgfNJ5ziadpXoZOw+BDhhgPdBpGG7KBBvDcLWAAOvGvp2xzKoHV88MNsfOHwOwX7MZlf9Ea4bhDkwzmlFkkydPRkTYt2+f3f2vvfYaIpK5eHl5Ubt2bUaPHs2xY8fspk29UqcxzmfQzBrBNTKDTEbQyRNsVq+GCxecmj3DuFymZmM43Z9//omnpycpKSns2LGDV199lX/++YcNGzbg4WH+38n01FPWczdffJG5qXqZ6hw7d4x0TefYOTs1m9hY6NULHn8c/vvfYs6wYRScCTaG03Xs2BEvL+tPrVu3bnh6ejJmzBh2795N06ZNXZw7N+Lllafbco3gGqSkp3Aq/lRmzaZamWpZCYKDrYc5a9cuzpwaRqGZYGMUu+DgYABS8pnP5Yr1zjt5NmV0Bjh2/hhh1cJ4uvPT+Hv7ZyXw9IQ+fYorh4ZRZCbYGE6XZhuKJaMZ7e2336Z58+a0aNHCxTlzUydOQBVroM0+9fqw5+E91ClXB29Pb/o36J+V7t9/Yfp0uP9+CAlxUWYNo2BMsHGxxx9/nE2bNrk0D61bt+bDDz902vn9/HLOu9KkSRMWLFhg7tfYM3kyjB4N+/dD7doE+wYT7GvVBCPPR1IhoALenramtmXL4OWXTU80o0Qwn3bD6dauXcv69etZt24d06dPJzAwkH79+nHy5ElXZ8399O4Nb7xhdYe2+Xjdxyzcu5BWn7fioYXZpsa+/344cgSqVbNzIsNwL6Zm42LOrFG4i3bt2mV2EOjQoQPdu3enatWqfPDBB7xj5z7FFa1WLXjxxRyb3v3rXfrW68v4a8ZTv3z9nOmrVi3GzBlG0ZlgYxS7ypUrU6FCBbZs2eLqrLgnVWtwzvLloVUrdjy0g0DvQEQkK80DD1jP5phgbZQQphnNKHaRkZFER0dTsWJFV2fFPSUlwaBB8P77AAT5BHH6wmn+Of4PiamJVjDKHngMowQwNRvjsi1evJgqVXJOU1w22xPx69atw9PTk/T0dA4dOsS7776Lp6cnDzzwQJ5zzZ49O0/HgapVq9KlSxfnZN4d+flZ89w0bw7Agj0LGDJzCPEp8Wz/z3aaVWwGn33m4kwaRuGYYGNctkceeSTPtubNmzNo0CAAunbtClgDS1apUoV27drx+eef06FDhzzH3XHHHXm2XX/99SxYsMDBuXZzYVmz8+48tZP4lHgAagRWhYMHoU4d1+TLMIpI1MyB4TBhYWEaERHh6mwYpcWyZfDpp/z06q0MnTsCAG09F265BcLDwRbEDcMRROQfVQ27dMqiMfdsDMNdnT8P27ZRPdEna1v79tbcN506uS5fhlEEJtgYhru68UbYuZNaja3mxhrBNaxnal54wRpHzTBKEBNsDMNdeXqCpyd1gmrwTa8PmecxDNavd3WuDKNIzL9HhuHOVKFLF+4OCoKtW2FootWUZhgljAk2huHOROChh6wHOHv3BjNStlFCmWBjGO5u5EhX58AwLpu5Z2MYhmE4nQk2hmEYhtOZYGMYhmE4nQk2hmEYhtOZYGMYhmE4XYkPNiJSXUS+EZETIpIkIgdEZJyddGNEZJctzW4RyTvksJXuZhHZKCKJInJIRF4SEU/nl8QwDKP0KtFdn0WkDrAaOAA8CpwE6gANcqUbA3wBjAOWAX2AT0VEVPWzbOn6A7OAr4EngTbA20AZYKxzS2MYhlF6lehRn0VkMRACdFFVu0+7iYgXcBxYpKqjsm3/BrgRqJpxrIhsBM6pao9s6V4BXgJqqeqJi+XHjPpsGEZJZUZ9zoeI1Af6Ax/nF2hsOgMVgR9zbf8BCAW62s5XE2idTzpv4LrLz7VhGMaVqcQGGyBj6sYLIrLUdi8mVkS+F5HQbOma21635Tp+u+212cXSqeoBICFbOsMwDKOQSvI9m2q212+wah/jsO7VjAOaiUgHVU3HamYDiM11/Gnba0iu19zpMraF2NmOiNwH3GdbTRKR3EGtJKoARLs6Ew5iyuKeSktZSks5AFqISPb7AJNUdZKjTu42wUZErgGWFiDpSlXtSVat7A9Vfcj28woROQtMw2piW+TwjOZiezMmAYhIhDPbPItLaSkHmLK4q9JSltJSDnB+Wdwm2AB/AU0LkC7B9hpje80doH6zvbbBCjYZNZXyQGS2dBk1lYwaTvZ0uZXPls4wDMMoJLcJNqqaAOwqxCHbL7E/PVe65uQMNhn3YHbYSbcmI5Gte3VAtnSGYRhGIZXkDgJrgRNYzWXZXWt7zZjScA1Wm+qwXOmGY9VWVgOo6mFgcz7pUihYk5zD2jddrLSUA0xZ3FVpKUtpKQc4uSwl/TmbUcBkrAc2Z2N1EHgL2AT0VlvhbKMFfIr1gOYyoDfWszOPqOrEbOcbACwAvgR+wmqKG4fVvfqZYimUYRhGKVSigw2AiIzAerq/IVZNZSbwvKrG5Up3P/AUUBs4DPxPVT+1c75bgVeBJlgjEnwFvKWqac4sh2EYRmlW4oONYRiG4f5K8j0bhxORmiIyU0TOisg5EZktIrUKeKyfiLwrIpEickFE1ohIdzvpPETkeRE5aBvsc7OI3FZCy3JQRNTOcrOblONtEflNRGJs+brrImkLNFDr5SiOsojIH/m8J4+7Q1lEJExEJtl+1wkiclhEpohIXTtpnf5ZKaZyOP1zcpllqS0iv4g18PAFEYkWkZVi3VbInbZA3w12qapZrNpdALAXawSBm4GbgK3Av0BgAY6fApwBxmAN9DkbuAC0zpXuLSAJeBrohXW/KR0YUALLchBYDHTKtZR3k3KcB1YB3wEK3JVPujG29+At23vypm39QTd6Twpalj+wOrrkfk+quENZgPewOuX8B+gBDAV2Yj3KULM4PyvFWA6nfk4cUJbmWIMPj7D9nm/CunetwK250hbou8HudRxV2JK+AI8BaUCDbNvqAqnAk5c4tpXtjbk72zYvYDcwL9u2SrYPz+u5jl8ObClJZbFtPwj86I7viS2th+21Afl8QdvKFgV8l2v7N1i9GL1LSlls+/8A/nTWe+KAv6+KdrbVxgoib2Tb5vTPSnGUw7bdqZ8TR/x92TmfF3AEmJ9tW4G/G+wtphkty43AWlXdl7FBrXHRVmNF+ksdmwL8nO3YVGwjGYiIr21zf8CHvIN9/gi0tFcFL6LiKEtxuJxyoNZwRZdSoIFaHaA4ylJcilwWVT1lZ9sh4BRQPdvm4visFEc5istl/X3lZvvMn8UKVtmvUeTvBhNssjQn72CdYD3sealBOJsDB9R6MDX3sT5kza/THOu/tX120lGA6xRUcZQlww22NuskEVnr4HboyylHYa6Bneu403tSWG1s7fYpIrJFREY7+PwOLYuINMWqyezMdQ1nf1aKoxwZnPk5AQeUxXaPzEtEqog1tUoj4JNc1yjMd0MOJthkCcH+IJynsT+ETUGPzdif8XpGbfXPi6S7XMVRFoD5wCNY/4UOAxKBOSIyvFC5LVpeLlWOwlwDO9dxp/ekMMKBx7H+Cx2E1Y7/lYi85MBrOKwsYs039TlWjeDrXNdw9melOMoBzv+cgGPK8l+smksk8AwwRFWXF/AaGfvz5TbD1Rglj6o+kn1dROZgjewwjrzNH0YxUNVXcm36xfa+vCgiH2qu58/cwCfA1cD1qmrvi6ykyLccJehz8iFWk1gVYCQwVUQGqeoCR5zc1GyyxGL/P4D8onlBj4Wcg32WExG5RLrLVRxlyUOtB19nADVEpGoB8nkpl1OOwlwDO9dxp/fkcv0E+AEtHXQ+h5RFRMZjTc9xj6r+lmt3cXxWiqMceTjhcwIOKIuqHlXVCFVdoKq3YwXE9wp4DbjEe2KCTZbtZLXfZ9eMSw/CuR2oKyIBdo5NJqvdeTvgC9S3k44CXKegiqMsl5K7+aMoLqcchbkGdq7jTu+JozjiPQEHlEVEXsQa+eNRVf0hn2s4+7NSHOW4FLd5T+yIIOd9mMv7bnBmd7yStGC1c6cC9bJtq4PVhvnUJY5tg/VHMyrbNi+sG4XZuw5Wsr0pr+Y6fhmwtSSVJZ9jvYB/gEOuLkeu81ys67M3Vjv7t7m2f4X1zIRPSSnLRY75BWtqjks+z1McZQEetZXhhYukcfpnpTjKkc9xDv2cOPLvK9uxHlg1m93ZthX5u0FVTbDJ9ksLxIrMW7G6Ct6I9XDcfiAoW7ratjf1lVzHT8OqZt6L9bDTTKwbgW1zpRtv2/4k0BP4DKtv/sCSVBbgTlu6kVgPgg3BeuhQsW4sukM5emDdJH/Ylq9PbOuDcqV7wPYevGl7T96wrT/kRu/JJcsCdAN+BUbb3rdbsQKNAmPdoSy2v5N0rFHUcz/k2Kw4PyvFUY7i+Jw4oCyvAR8Bd9j+zu7AmhcsPXceKeD3nN08OqqwpWEBagGzgHNYT2zPBerkSlPH9ofyWq7t/sAHWNMeJALrgJ52ruGJNeL0IayunVvI9eVXEspi+1CtwBqsNAXrqeJlQH83Kscftu15FjvXuR/YY3tP9gL/cbP35JJlwar1LAKO2coRhzUp4Z3uUhasUdrtlgNr1t1i/aw4uxzF9Tm5zLLcaMtjlO33fAiYB3Sxc40Cfc/ZW8xAnIZhGIbTmQ4ChmEYhtOZYGMYhmE4nQk2hmEYhtOZYGMYhmE4nQk2hmEYhtOZYGMYhmE4nQk2huGGRCRQRI6LyCAHnc/fNpXv7Y44n2EUlgk2huGensKaKXSWI06mqhewhpB/W0S8HXFOwygME2wMw83YZjx8BPhCHfvU9WSgJnCLA89pGAVigo1hOJitCWyXiPydvRYhIv1EJF1EHrrEKW7GGrb95+wbRWSyiBwVkTAR+UtELojIbhG53rb/SRE5KCLnROQXEamY/Xi15llZgjWulWEUKxNsDMPBVDUeawDGVsD/AYhIZeB7rNFxJ17iFNcCO1U12s6+YNt5vsKqoUQBs0TkfayBHh/CGgG4F2DvOuFADxHxK2SxDOOymJk6DcMJVHWjiDwHvCciy4CngTSsEZkvpROwIZ99ZYAHVDUcQESOY43uOxBrtOE02/YWwCMi4pmxzWYj1nzxbbEG6TSMYmGCjWE4z4dAX2AB1hd833xqK7lVw2rusic+I9DY7LK9LssVVHZhfb6rAkezbT+V7RqGUWxMM5phOInt5v4PWDNOblbV5QU81A9rqHd7zuS6RrLtx9hc6TK2524uu2B79S9gXgzDIUywMQwnEZEqwASsJrFWIvJYAQ+Nwf5c746QMV98QWpYhuEwJtgYhhOIiADfYdVQrsFqUntHRK4qwOG7gHpOylpd2+tuJ53fMOwywcYwnONJrCAz3Nbl+DlgB/CTiFyqCSscCBMRZ3w+OwLHVHW/E85tGPkywcYwHExE2gJvA+NUdSVk3lu5E2ta3g8ucYqfgbJANydkbyDWPPKGUazMtNCG4YZE5A9gn6o67AFMEemI1d25qarucdR5DaMgTLAxDDckIl2AZUADVT3moHPOAWJV9R5HnM8wCsM0oxmGG1LV1cATQG1HnM92n2gT8KIjzmcYhWVqNoZhGIbTmZqNYRiG4XQm2BiGYRhOZ4KNYRiG4XQm2BiGYRhOZ4KNYRiG4XT/Dy9GW68Xc759AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#-------------- LBL data\n",
    "\n",
    "lbl  = np.loadtxt('LBLdata/ex_S4_LBL.dat')\n",
    "\n",
    "#-------------- PLOT BOILERPLATE\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.tick_params(direction='in', top=True, right=True)\n",
    "plt.cla()\n",
    "\n",
    "#-------------- PLOT\n",
    "\n",
    "ax.plot(xQ, Qpm/1000,    'r:')\n",
    "ax.plot(xQ, Qwsgg/1000,  'g-.')\n",
    "ax.plot(xQ, Qrcslw/1000, 'b--')\n",
    "ax.plot(lbl[:,0], lbl[:,1], 'k-')\n",
    "\n",
    "ax.legend(['PM', 'WSGG', 'RCSLW', 'LBL'], frameon=False)\n",
    "ax.set_xlabel(r'x (m)')\n",
    "ax.set_ylabel(r'Q (kW/m$^3$)')\n",
    "ax.set_xlim([0,0.3])\n",
    "ax.set_ylim([-2000,500]);\n",
    "plt.savefig('ex_S4a.pdf');\n",
    "\n",
    "#-------------- PLOT BOILERPLATE\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.tick_params(direction='in', top=True, right=True)\n",
    "plt.cla()\n",
    "\n",
    "#-------------- PLOT\n",
    "\n",
    "ax.plot(xQ, Qpm/1000,    'r:')\n",
    "ax.plot(xQ, Qwsgg/1000,  'g-.')\n",
    "ax.plot(xQ, Qrcslw/1000, 'b--')\n",
    "ax.plot(lbl[:,0], lbl[:,1], 'k-')\n",
    "\n",
    "ax.legend(['PM', 'WSGG', 'RCSLW', 'LBL'], frameon=False)\n",
    "ax.set_xlabel(r'x (m)')\n",
    "ax.set_ylabel(r'Q (kW/m$^3$)')\n",
    "ax.set_xlim([0,0.3])\n",
    "ax.set_ylim([-600,200]);\n",
    "plt.savefig('ex_S4b.pdf');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Example S5\n",
    "* L = 2 m domain\n",
    "* P = 1 atm\n",
    "* Black walls at T(0)=1500 K, T(L)=500 K.\n",
    "* Uniform mole fraction of water vapor is 0.1.\n",
    "* Sinusoidal temperature profile: $T(x)=1000 + 500\\cos(\\pi x/L)$ K.\n",
    "* In setting up the RCSLW model, the max temperature gives somewhat better results than using the average temperature."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "L = 2\n",
    "x = np.linspace(0,L,100)\n",
    "T = 1000 + 500*np.cos(np.pi*x/L)\n",
    "ax.plot(x,T, 'k-')\n",
    "ax.set_xlabel('x (m)')\n",
    "ax.set_ylabel('T (K)')\n",
    "ax.set_xlim([0,L]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "with _hide_print():\n",
    "    xQ, QPM   = ex_S5('planckmean')\n",
    "    xQ, QWSGG = ex_S5('wsgg')\n",
    "    xQ, Q1    = ex_S5('rcslw', 1)\n",
    "    xQ, Q2    = ex_S5('rcslw', 2)\n",
    "    xQ, Q4    = ex_S5('rcslw', 4)\n",
    "    xQ, Q8    = ex_S5('rcslw', 8)\n",
    "    \n",
    "# 8 and 16 are virtually identical"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#-------------- LBL data\n",
    "\n",
    "lbl  = np.loadtxt('LBLdata/ex_S5_LBL.dat')\n",
    "\n",
    "#-------------- PLOT BOILERPLATE\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.tick_params(direction='in', top=True, right=True)\n",
    "plt.cla()\n",
    "\n",
    "#-------------- PLOT\n",
    "\n",
    "ax.plot(xQ, QPM/1000,       'r:')\n",
    "ax.plot(xQ, QWSGG/1000,     'g-.')\n",
    "ax.plot(xQ, Q4/1000,        'b--')\n",
    "ax.plot(lbl[:,0], lbl[:,1], 'k-')\n",
    "\n",
    "ax.legend(['PM', 'WSGG', 'RCSLW', 'LBL'], frameon=False, fontsize=12)\n",
    "ax.set_xlabel(r'x (m)')\n",
    "ax.set_ylabel(r'Q (kW/m$^3$)')\n",
    "ax.set_xlim([0,2])\n",
    "ax.set_ylim([-100,250]);\n",
    "plt.savefig('ex_S5a.pdf');\n",
    "\n",
    "#-------------- PLOT BOILERPLATE\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.tick_params(direction='in', top=True, right=True)\n",
    "plt.cla()\n",
    "\n",
    "#-------------- PLOT\n",
    "\n",
    "ax.plot(xQ, QWSGG/1000, '-', color='gray',   linewidth=2)\n",
    "ax.plot(xQ, Q1/1000,  ':',   color='orange', linewidth=2)\n",
    "ax.plot(xQ, Q2/1000,  ':',   color='red',    linewidth=2)\n",
    "ax.plot(xQ, Q4/1000,  '-.',   color='green',  linewidth=1)\n",
    "ax.plot(xQ, Q8/1000,  '-',  color='blue',   linewidth=1)\n",
    "ax.plot(lbl[:,0],   lbl[:,1],   'k-', linewidth=1)\n",
    "\n",
    "#ax.plot(xQ, QPM/1000,       'r:')\n",
    "#ax.plot(xQ, QWSGG/1000, '-.', color='green',   linewidth=1)\n",
    "#ax.plot(xQ, Q4/1000,  '--',   color='blue',  linewidth=1)\n",
    "#ax.plot(lbl[:,0],   lbl[:,1],   'k-', linewidth=1)\n",
    "\n",
    "ax.legend(['WSGG', 'RCSLW n=1', 'n=2', 'n=4', 'n=8', 'LBL'], frameon=False, ncol=2, fontsize=14)\n",
    "#ax.legend(['PM', 'WSGG', 'RCSLW', 'LBL'], frameon=False, fontsize=14)\n",
    "ax.set_xlabel(r'x (m)')\n",
    "ax.set_ylabel(r'Q (kW/m$^3$)')\n",
    "ax.set_xlim([0,2])\n",
    "ax.set_ylim([-45,45]);\n",
    "plt.savefig('ex_S5b.pdf');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Setup RCSLW using T$_{max}$ instead of T$_{avg}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "with _hide_print():\n",
    "    use_Tmax = True\n",
    "    xQ, QWSGG = ex_S5('wsgg')\n",
    "    xQ, Q1    = ex_S5('rcslw', 1,  use_Tmax)\n",
    "    xQ, Q2    = ex_S5('rcslw', 2,  use_Tmax)\n",
    "    xQ, Q4    = ex_S5('rcslw', 4,  use_Tmax)\n",
    "    xQ, Q8    = ex_S5('rcslw', 8,  use_Tmax)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#-------------- LBL data\n",
    "\n",
    "lbl  = np.loadtxt('LBLdata/ex_S5_LBL.dat')\n",
    "\n",
    "#-------------- PLOT BOILERPLATE\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.tick_params(direction='in', top=True, right=True)\n",
    "plt.cla()\n",
    "\n",
    "#-------------- PLOT\n",
    "\n",
    "ax.plot(xQ, QWSGG/1000, '-', color='gray',   linewidth=2)\n",
    "ax.plot(xQ, Q1/1000,  ':',   color='orange', linewidth=2)\n",
    "ax.plot(xQ, Q2/1000,  ':',   color='red',    linewidth=2)\n",
    "ax.plot(xQ, Q4/1000,  '-.',   color='green',  linewidth=1)\n",
    "ax.plot(xQ, Q8/1000,  '-',  color='blue',   linewidth=1)\n",
    "ax.plot(lbl[:,0],   lbl[:,1],   'k-', linewidth=1)\n",
    "\n",
    "\n",
    "ax.legend(['WSGG', 'RCSLW n=1', 'n=2', 'n=4', 'n=8', 'LBL'], frameon=False, ncol=2, fontsize=14)\n",
    "ax.set_xlabel(r'x (m)')\n",
    "ax.set_ylabel(r'Q (kW/m$^3$)')\n",
    "ax.set_xlim([0,2])\n",
    "ax.set_ylim([-45,45]);\n",
    "plt.savefig('ex_S5c.pdf');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Example B3\n",
    "\n",
    "* L = 1 m domain\n",
    "* P = 1 atm\n",
    "* Black walls at T(0)=400 K, T(L)=400 K.\n",
    "* Symmetric temperature profile: $T(x) = 400 + 1400\\sin(\\pi x/L)^2.$\n",
    "* Composition profile: $y_{H2O}(x) = 0.0001 + 0.9999\\sin(\\pi x/L)^2,$ $y_{CO2} = 1-y_{H2O}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "L = 1\n",
    "x = np.linspace(0,L,100)\n",
    "T = 400 + 1400*np.sin(np.pi*x/L)**2\n",
    "yh2o = 0.0001 + 0.9999*np.sin(np.pi*x/L)**2\n",
    "yco2 = 1-yh2o\n",
    "\n",
    "fig,ax=plt.subplots(1,2,figsize=(9,4))\n",
    "ax[0].plot(x,T,color='red')\n",
    "ax[0].set_xlabel('x (m)')\n",
    "ax[0].set_ylabel('T (K)')\n",
    "ax[1].plot(x,yh2o, 'k-')\n",
    "ax[1].plot(x,yco2, 'b--')\n",
    "ax[1].set_xlabel('x (m)')\n",
    "ax[1].set_ylabel(r'$y$');\n",
    "ax[1].legend([r'$y_{H2O}$', r'$y_{CO2}$'], frameon=False);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "with _hide_print():\n",
    "    x,xQ,qPM,QPM       = ex_B3('planckmean')\n",
    "    x,xQ,qWSGG,QWSGG   = ex_B3('wsgg')\n",
    "    x,xQ,qRCSLW,QRCSLW = ex_B3('rcslw')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "lbl  = np.loadtxt('LBLdata/ex_B3_LBL.dat')\n",
    "\n",
    "plt.plot(x,qPM/1000,   'r:')\n",
    "plt.plot(x,qWSGG/1000, 'g-.')\n",
    "plt.plot(x,qRCSLW/1000, 'b--')\n",
    "plt.plot(lbl[:,0],lbl[:,1],'ko')\n",
    "plt.xlim([0,1])\n",
    "plt.ylim([-210,210])\n",
    "plt.legend(['PM', 'WSGG', 'RCSLW', 'LBL'], frameon=False)\n",
    "plt.xlabel('x (m)')\n",
    "plt.ylabel(r'q (kW/m$^2$)');\n",
    "plt.savefig('ex_SB3.pdf')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Example Sb1\n",
    "\n",
    "* L = 1 m domain\n",
    "* P = 1 atm\n",
    "* Cold black walls\n",
    "* Uniform temperature and composition with T=1000 K, $y_{H2O}=0.2$, $y_{CO2} = 0.1$, $y_{CO}=0.03$.\n",
    "* Uniform soot with volume fractions of 0.01, 0.1, and 1 ppmv."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "with _hide_print():\n",
    "    xQ, Q001 = ex_Sb1('rcslw', 1E-8, 4)\n",
    "    xQ, Q01  = ex_Sb1('rcslw', 1E-7, 4)\n",
    "    xQ, Q1   = ex_Sb1('rcslw', 1E-6, 4)\n",
    "    xQ, QW001 = ex_Sb1('wsgg', 1E-8, 4)\n",
    "    xQ, QW01  = ex_Sb1('wsgg', 1E-7, 4)\n",
    "    xQ, QW1   = ex_Sb1('wsgg', 1E-6, 4)\n",
    "    xQ, QPM001  = ex_Sb1('planckmean', 1E-8)\n",
    "    xQ, QPM01   = ex_Sb1('planckmean', 1E-7)\n",
    "    xQ, QPM1    = ex_Sb1('planckmean', 1E-6)\n",
    "\n",
    "lbl  = np.loadtxt('LBLdata/ex_Sb1_LBL.dat')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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39+9YfNbRpN8Fat9+lhF/jmDt/nsR7wTEkoDdJx67XzK3RX/Bmo4fUKVKfZr03MiKw4t5rOPDBPn7smj/Ah5Y+Sjs2gWn60K/a0DZQGWYhB6L+Znbr9nGTz/NZ+izr7Dl38Xc1+MFmjaNYtLm77nrr2dhTSwcawH9eoHdO8vWb+ZXJEQconlzqNJlPsfOx3JD01uxWmHh7iW0+/ZhgoLtJK65hbNHB4I1EKx+2L0m4RO4lL43TuGha+8nOjqKUaOyKho+PkJKisJisVCnznyWLYsGNpKQEM7atVG0bGlh61bd9oMPdGbSsmWjqFIlkoMHY0hJyfj++/TJqljlR6nK7bcEGDc+g8FgMLiW4cPh5En46SetJB08qDPTlTbSs+yBdnmpUgVqpS3oxsbqZBS+vu6RrRRilKViRl7KUF4WhcREuOKKKOrWjWTHDm3dCQoKon37SJ5+Ooobb0zPjhkFROLtra0jgYFaAdqxoz9hFYQKYYp6jePZlryc0UuWU/fRuhz0aUbc2e1QIZDU6n7EW3oz6vROOuz/jivr92Xy2tkMmzOYtcM30LLyAD79+wAjFrzNkX9DCPENoe4ziwn1CyXEN4RAn0D8vf3x965JoE8g1RrCux+ksmhvMo9H2gjwgXVHwth5ahTeXt54KS8syoLFy5LluUVdR6BPIE2bWvhl8n0cPn8Vna/oDECP4605euEHbGLDLnbsYsdm189tYiPFloJd3gCgd294vWo8hy+c5rFI/bm+tSKGrSfbkJCaQFzfFVzo/jsXUi5wPvk8F5IvkJRygX3l6zNgwAAGDIAN4d3wsZdh6sC5nD8Pfb6+jsDXFxAWGIZfhT40vL0lftY6+Nq88bWuJzQwgNWH4uhQowP//ANz5ginT1uw2eYD0VSosJFvvw0nKiqKK6+0sGmTnl+rV4eqVaOoVi2SI0e0shMYqL/jzNaq3H5LgMsTcRgMDufCBe3C06KFNvv+/bdOF/zKK1CuHMybBx9/DFOn6ixVv/2mTeATJ2rT75o1uo7K8OH6/Lg4verr5+fud2YwlBzOn8/IRFe7tr4W0+OQSqOidCmtWmXUfwK47z7Yt0+nJy8JLojFAKMsFTPyUoZysyi0a5denNoC6BvuJk028tZb+ob78cctePmk4FfuFAQfIcH3AXb9W5maXn4M6jmIqhFVafuVDx/fNIvrGl/H73uWETU5Cq/lXlQOqkzFmypSLyCMsEAfwgLKERZQn7DAa2hQvgFeXjCgeS+2XbGFuuXqAjC83XCGtxue7/fevnp72ldvf3G/TbU2tKnWJqNBcrI2XdesqdOHnj6tb3yurgZNmlA7wZfaE+bB0DLQvDktvarSctFq6NdPr9gkJ+ubq7CwbLPRDG46OMv+iM4j8pTZardefD5x0FdY7VaqVdRKzTODe3HwfANOJZ7iVJVYTiX+xKmEUxyMP87ZpLMA+C4byJyhc/jqK6jzQV1ub3wDIyPfJjb2at5dto8T1U+w9MBS+l7bkiZNynH0qBeHD8PWrRaaNZvP+PHRbNy4kU8/DWfZsiiaN7fQoAE0aQLHjuX8WxIRlyfiMBgKTfqN1YYN2s9/3Djt/ztnDtx6qy4k2aSJTt371Vfw5JNaWUpKwnbyJNG//sqG//4j4uxZonbs4KLtdMECGDkyI6vWu+/Cq6/qFSVfX/jzT+0ic999JoOVwVAYVq3SLmZz5+r4oxF5/6+Weh54QKclT1eUDh/Wq6QGp2GUpWJGbsrQvHnw229RiEQC2iVOqYz4ly1b4LrroG5dqFvXQuUaPZhzcC/zTs1j/A/j2V57O8fjj4MAF3TfgRUDGdd7HAMiB3Am8Qyju4+mYZguuta9VneOPHWESkGVsHjl7ZoV6hdKaMUC1DHIjpMn9WPFitoUfdNNetV38GA4dgzatNEBRHffrf0En31Wp+9s0kRncHjrLR0k2ry5Xpl54AG9mlyrltYku3TR+1ddpVekP/9cZ9+pW7dQ4np7ZVxi6Z9bOo93eDzH8xJTEzkadxTJlGXilua3EFE1grJlwep7ii8OPsFnBzKSd3hX9aZW41o0rtCYnhWb0axic5rW6syAAQOoXl2/nd279fb779Cz5+W/JT+/IJo0CcfPj3y58ZmYJoMjyddvym7XsQy+vlo5uuoqmDQJ+vTRr//9t54b6tSBnj1h9myoUUOfO2yYVp7Sx7v2Wvp9+ikxDz6Y1d00MFArTC+8AI88kmFJuvJKnbY43f1l6lSIjtb+yKCVqdhYXXyyKO/RYCjpWK068LdVK/3/XaWKuyUqPvTvn/H8zz8hKkrft/Tp4z6ZSjoiYjYHbW3atBFHYLVaZe7cuTJmzBiZO3euWK3WLMd69+4twcHBopQSX99g6dWrt1itVrnrLpHgYJE+fawydOhcueWWsfLll3PlXMI5ERGx2+0ycMpAeWv5WyIicj7pvDAaKfO/MtLxq45y9+y75Y2lb8jUf6bK6oOr5XjccbHb7Q55T4XCbhdZtUpk/Xq9n5Ag4uUlMmqU3k9JEenYUWT6dL2flCQya5bIgQN632oVOX9eP17ab/r5Bw+KxMfr/UOHRN5/X+TIEb3/228iQUEi27fr/Z9/FmnSRGTPnozz3fj5pNpS5b/T/8nCfxfKl+u+lBcWviA3/nSjtPi0hfiO9RVGI+OWjRMRkRNxJ+Smn26Svw//LSIiyckiJ07o31JQULDoQK9ggd7i62uVvn2t0qZNxu8sODhYevfuffG3eOnv8NLjRQFYKx5wPTtyc9TcUBzJbT67tF2ev6mjR0XCwkQ++UTvnzsncuutIn//XSjZ5s6dK8HBwYJeIhJAgoODZe7cufnrwG4XOX48Y//BB0UGDszYf+opkY8+Kth7vIT8fn6lATM3lBD+9z+RDh1EUlPdLUnxJzZWZMQIkcREvV9KP1Nnzw3GsuRh5JXAIS7OwoAB8/nvv2ji4jaSmhrOJ5/olcnx4+GLL+BYwlH+2nuGv/b9x+v7vmbaT/VYePtClFL4e/vjY/EBIMQvhGNPH6NSUCWUp7iQ7N2rLUQdO+r9IUOgc2ddcyAgQL/Btm31MR8fWLky41w/P206S8di0XEHl5I540z6ijNoM/bjmaw9V12lfanT24eGQsOGGee8+y589JF28QkNzXAFchHeXt7UKVeHOuXqXHbMarey5/QeyvjpauEHzx9k9aHVJKQmAPDHvl8ZtXgUPZ7uQbdD3bAdsdG0cTsCAqJYssTC7Nnw0Ufzsduj+euvjYSGhvPiixkr4O4oLmzwHIpSsLp9+0hmzZpPaKhu/99/2qNk0aJoVqyIISkp62/q2QYPIGF3ktC6CykplUmpOJ/yC6vw0XAgNJRnq3zPmqchJUVnykxJ0aVJZs3SMgwcCOvXa4OUiN7atdNZejds2EBcXFZ307i4eJ57LsPdtF07OHpUTyfp21VX6aQrKEX3IZVISEjPhPkZ/v5Cv4/g0UcE/vmHxxZdi+VfPT0diH6HZdtXk5Iaf/E9rlgRw5tvRtOnz4CLmTLLl9cGrILWSzNWK0OxoGFD7e2RnKytS4bCExamMwaC/jy7d9fW80ceca9cJQzzK/UwcrsJrVJlAL17w/nzFtq0GcAzzwzgxhshLEzYcHQDs3fMZtaOWfxz4h8AygeUp0ftHkTVzwjqnz5kepbxKgdXdt2by4kTJ3TWG9AVuU+ehH/+0YrHjBkZGWDSj7uSzMGTvXvrLZ2WLeGWWzICU4cPh+PHYeZMt8cveHt507hC44v7rau2Zt8T+9ALMOBr8SXEN4SP1n5Eqj0VP4sfXVO6MrjeIZ4bM4h33qmEiAUvrwGsWDGA0aNh8mQYNQqGDnVPcWGDa8jrhvvSG/iAgCAaNYpkxIj5nDpl4cQJOHNGF6KPjo5m2bIYUlIy5rNFi2IIC4smNVX/TsaMge++A9iAzqaZQXx8PAv8fNh/pB0BB8DfX+Hj04Za5zLaWK36Mg0N1esfvr5ZvWY7dtQePkrpzcsro85jREQEvr5BF+UD8PEJokeP8Iv7vXppzzqbLWOrk2l9olo1nUE0OVmHMp09qzh1ClAKmf8H0yoLSV9DcrKQkpICJGR5j0lJ8bz00kZeeinjuhk5EsaOhWnTovnzzxgg4/NbsiSGsWOjGT16AOfP6+mmfHkoU8bGCy/0459/YkhIyFmxMgqVwS1Mn64vwCFDYNAgvRkcS0oKXHGFjts2OBSjLHkYud2EPvvsAG66SYfZtEnLazDlnym8MuUV/j3zL17Ki65XdGV83/H0rtObFpVb4KU8PFPK6NHaQnP8uLYcvfNOVmtQZKTbRMuTqCi9pVOrlr5rSVeURo/WVjEP8iNOtyD2rdeXvvX6Ep8Sz9L9S1n430J+2/0bD/32EA/Pe5getXtwZ6s7uaXFLYwebaFlS714deut+nHo0PzVezIUL9IVodWrM264mzSJpE+f+Rw5YuHQIdixI5pDhzJu4BMS4tiwIYahQ6OBASilk1mNHavns5SU+EtGiadXr43Y7QPw8oKnnoJbb0xhw9YIRo3KWq4gIDCA+99rSuvua4lLiSPAJ4ButboB8MW6LyjnX4733hsCwANzH+Bs8lmSrclss6XQe1IyKbYUUiqlkFxeP+9dpzcfXfURAK0ntGZg/YF07RrJ6tWriY+PR/kqvGqlMqfuQ0R/8Bg+Fh+8a3njU8cHH4sPNze7mac7PU2qLZWoyddwR6s7mDr1Zk4nnmb04tEE+gQS5BNEoE8gn6/Vj58tDiLYN5hyAeXYubAKDz0cmGWOD/AL4OVR4bRooZPtXbgA6ZfR1q2XK5BWazybN28EBrBvnw7P1ESjY1UzFKtVq2Lo2jWaiIgBVK0KVava+PTTfuzcmbtCZTA4FJtNF00MCYEbbnD7YmKJJSREK6XpzJ2r70tatnSfTCUEoyx5GNklcICMoPsvvoCYQzGcS2pMGf8yWO1WapapyYtdX+SaRtdQIdDD02zu3auViNdf1+5sV12l76zSi6+1bu1W8YrE889nPE9IgC+/1M/79NG+PydPZljQPIQg3yCiGkQR1SCKd/q+w5YTW5i+dTrTtk5j3Ipx3NryVvz8YNCQZG66yY/p0+HFF2Hr1igiIyMvcw/KrpCuwTPIyaKwZw/8+KNO/BETE82OHVlvuDdvjmHt2miqVx9AjRoQGnr5DbxS8TzyyEZGjhxA+fIZnjUREREEB2edz4KDg3j00XCmbPmBM4lneDSuKQy7gW/e7oiqaYd9QArgCwmVEnhsz2Pwnz63ffX2xNwbA8Cnf39K7bK1GdJMK0vrjq4jLiUOP28/fC2++Fn0Y7Bv8MX9euXrXZQjsnok9SvU55X5rzD317mMmT6G8nXKU6N1DZRFYbVbSbWl6kd7Kqm2VAJ9AvVnKTZOJ54mxZYCwJnEM3y/+XsSUhMuvpYdb/R4gw4dOrBq9SoS4hPw87HQqVMkV91Zk1E/dqCSJZQqzSJJkSrs31aZMvV9CQwKICE+wxoVHBzE3XeHA9qTae9enfjzww83MGlSPJKRE4bExHj27NnIjh0DOHMGslOoFi+OYeBA7T7booXOfRMaaqxPBgcQH6/9Vv39td9rSIhRlFxFaio8/bQ2g6fVTjQUAWcGRJW2rSCBmjkF7aYHAPv5ZQTdt2jRW1JT9fGdsTuF0ciby98UEXFvAob8YrPpQGwRkf/+EylTRiS/AdTFmdRUkbg4/XzpUhEfH5E//3SvTPnEbrfL4fOHRUTkbOJZqT6+unyz/hsR0fkwzp7Vv9UJE+bKE0+MzTYRSWGD0jFB3A7HarVK584Z84qXV7CEh+vEAn/8IQIi1auL1K49Jm3eyUh4oJSSV18de7GvnJIifD75c/l528/y7sp35bF5j8k1U6+R1p+1Ft8GvoJvWltfdEKD48dl8Nf9pO0XbUXOnBG59VZ5bPJtcsO0G6T/y/2l253d5O637pYv//5SZm6bKfP3zJcVB1bIztidF+VItiZ75PyXYk2Rs4ln5cj5I7L71G7ZdGyTLN+/XObunCu7YneJ1WqVSdMnSafbO8l7370nVqtVVh1cJc2fDZJKL3iLGq2E0ejtFYQ6XPz8/AP9pXfv3rL12FYZ+edIOXTukIiIxCXHyYxZM3JNVpGYKPLEE2NEqazfLyjx8xsrGRFdVomMzEhCERAQLD16OCZ5S1Exc0MxIilJpHVrkdtuc7ckpZcjR0SOHdPPbTb3yuJknD03uH2iKElbfie93DIi2e0iY8daBeZK7dpjZeLEuXL47GH5ftP3F8+fvmW6XEi+kK+x3I7NJtK+vcgdd2S8lp61pTSxb5/Is89mZN5bvVpk40b3ypRPjscdlztm3SFrD68VEZELyRfEatM3Tl27ipQtK7JyZUb7ombKMzdEhSMnBfXgQZEqVeamZTvMuEn299c30snJGTp9btnhLiRfkHVH1klSSpJe0AnwExQXv99hPw27eJMf8kaINP+0uUT9ECV3zLxDhrw2RK5+4Gp54dMXxJqcLFK3rqRe2cvpn0mxIjVV5OBBsdqscuzEf7Lpxu4y/7cPZeK6iXLXW3dJ5zs6y6eTPxWr1Sozt80Ur1e9ZPtJnanzg9UfCK8gvvV9xcvPS1CIb4CvtOrYSnac2CGpNp0hK6fvd86cuXLwoE4Aescdc9MyZGZWqIKladO58r//iWzZ4r4koGZuKGa8/77+URnci80mMnSoyJgx7pbEaRhlqRht+Z30crshsVpFBgwQGTZMp3eetX2WVHirggS8FiAn40/mq3+3Y7dnVQTefVdk2jT3yeOJ9OwpUr9+sVztufXnW6X9l+1lz6k98t9/Ig0a6JT1S5fq40VNx2xuiArOpQqqt3ew1KqlFVSrVaR58+wtRmPHjr2sn169eklgUKAopcTH30fCmoVJjXdqXFSEdsbuFKvVKk9/9LQ0GtJIZsyaIVarVbae2CrrjqyTUwmnLrf42O0iCxZk3GX//ru+6zZkz8aNIjVqiCxblmOTFGuK2Ox6/lh7eK28tuQ1uX3m7dL40cYS0DdAGJpmmRqN+I71lfDPw+Xw2cPSu3fvi99vdgsZY8Zkb32qWlVbn6pWFUlJ0Yr5yy+7Np25mRuKAbt3m2vb00hN1QvW48a5WxKnYZSlYrTld9LL7s8os6tLYqJIcmqqPPzbw8JoJOLzCNl6Ymu++vYIvvpK/7TWrnW3JJ7LmTMi69bp51aryJtv6teKAZM3T5ay48pK6P9CZea2mXL4sEjjxiIhISL//JPz7/vSG/OcMDdEBWfGjLni65tVQfXxyVBQ86PALt+/XK6cdKWUfaOsvtHuiXjd4iXNP24uw2YOk9eWvCYzts6Qs4lnCy7gtGl6Tpg3z1FvueSTnJzx/J139I1OAUw6sfGxsuLACvlm/Tcy4o8RMnDKQLHarGK1WqX/y/3Fv4+/zJkzR6xWqyzbv0y2ndgmdrs919/KoUMiixZlKOagxGIJljZtXOOmZ+YGD8du1653LVoUy4XAzJS4+maZ547YWLfWiHQGRlkqRltRLEv+/sFSr95cOXlSx4j0/b6vMBp56venJNmanHen7ub8eZH9+/Xzc+dEPv4465+9IWeWLBFRSmTGDHdLkm/2ntkrkV9GCqOR8SvHy8GDesX56quNZSm7zdk3RG3b5m45ys41slO3TtJ+Qnv5deevIiKy8sBKafVZK7l/zv3y2d+fScyhGElISSi8UFardj9Nfz516uUFog15Y7eL3HKLyJAhDuty5YGVWVy7W3zaQhiNlH+zvFw35Tpp3K5xjtan7K5vCJZmzeYWtjZwvjFzQzFg506RzZvdLUW+sdvtcj7pvOw/u1+2ntgqG45ukJX7V0q7Lu0uzpeBQYHSrku7i9fAztidsvvUbjkZf1JSrClufgcF5NAhkWrVRN56y92SOBRnzw0mG54biIrKmkksICCIlJRIgoKisFrOcdX3fdhwbANfDfyKe1q7uK5QYRCBnj111cXly3XBk4cfdrdUxYdu3XRh20aN9P6ff+pCMLVru1Ws3KhdtjZL7lzCrbNu5ek/nuZk55MsWPAGNWoogoNNpjxnkTmjnb9/BNdeG0XDhhbuvTeCrVuzpt3OnMo9VVJ54P0HSJ2cil+sH49d+xi9+vTimh+vuZhOvmPNjmx8cKPjhL3tNli9GrZu1WUBbr7ZcX2XJpTSRc6Sk/X+0aPw/fc601UhM9R1rNmRjjU7XtyfeeNMlh9YzvIDy1m4dyEHog5AfagUV4lukd146a6XLmbDy668BcSzb99G2rcfwKpV0LatyaZXqjh9Gn77TV/zDRs6ZYii1AdbfWg1O2N3ckf4HQA8Ou9R5v87nzNJZzibdBar3Zr1hJ2g1igkRaeWTIhPYN3f6y4WXb/xpxvZdHzTxeaBPoGU9S9LxcCKVA+tTrXgakRUjWB4u+EAxCbEUj6gvGeUcqlaFW66Cfr3d7ckxQqjLLkBi8XC/Pnz0y78jcyYEc5//0Xx/dRkBv0cxcZjG/n5xp8Z2Gigu0XNncREfROklE4HHhZm0oIWlsZpBWStVrjvPl1Vc+FC98qUB37efkwbPI2HAx5m3IpxlOldhuebPU9CgoWXXppPfHw0GzduJDw83NwsOYDMxWDj4uKBIN59N5JDh+Zz771R/PRTVgW1ffv2BDUN4p5f7mHm9pmcSz5HxfIVebjfwwzooQugLrzdCb8xET0PPPqoLg3g7+/4MUojfn76ccoUPd8OGgT16zuk6wZhDWgQ1oC7Iu5CRNgeu53o3dHM2zOPWftmMePLGbzc7WXG9ByTbXmL4OAgvvoqnOPHoU2by2t1mVpOJZzx4/XWtatTFvkuLYR96W8qITWBjcc2sv7oerae2MrOUzvZfXo3ex7dg7fy4+ulvzJl1V/c9PYd+PtDyr52WBb1plJKWSonl0GSg7ElBvH0ezFUrKj43/CFrEn5NIsM9mRh1SpddL3biWnEzyqPl08y3oFxeAWcB/+zVB/8OUcv7CdmfTwb/UPoW04Xre78TWciqkQw7YZpALy+9HUaV2hMRNUI6pStc3HByiUFo728dG3LdI4d01W7DbnjTLNVadsKY06fOFEERD77TOT2WbeL16te8vO2nwvcj8vZt0+kTh2RH35wtyQljwMHRHbt0s8TEkROenZiD5vdJrfMvEUYjXy38Tt54AGd8OHIkcL1h3G1yZa5cy/PUhYUlOHemO5j/8roV+TR9x6VFp+0uJiZ7o5Zd8j8PfMvZkVzCikpIvfdV6KDiD2G3bsznv/7r1OHOhF3Qj5Z84n8fVj72K09tFYqt6icq5teYGDh3XBzw8wNHkpqqjjTBzM710+/AD/p9WIvafZJM1Evhgr3theeKytlx5WVJs8Ml8rNtkv1Glbx8pKLafHXr9dxOp9/rit5hIXp25hWrXRm18O6Woa88MJc8fbOOp63d7DMmKF/w19+KdK7t0jHjiJNm2qvtpCQjDCte+7JGBNEAoKTpG7jc2K362yyXnf1FG7tKzxWV0JfLyc9JvaQZ39/Vlp1bCVBQUGFyiJbKL79Vv9Zl4CEHM6eG4xlyY2IwCefQKdOcP/90Onk03S7ohvXN7ne3aLlTfXq0LGjtoAYHEvNmhnPn38eZsyAf/6B8uXdJ1MueCkvJl47kWNxx/hq/Vd8/cytfPutF88/D999527pSg4rVlzu/pSQEM/GjXq102KxIA2EL3Z+wbFzx2hZuSVfDfyKoS2GXiym6lS8veH8echSUNvgFNItSgsWQFQUzJ4NAwY4ZaiKQRUvuhMB7DmzB6/bvfi6ztfs2b6HRs0aMeiaQVnc9BITs/5O4+MzfqeGEsTMmXDllbqwfNu2ThtmWcwy4uKzzivJicks+bImvjIFia0MwDfTYrnzxjCWLVO8tBrqtoErrtCeZ5UrQ+3a2oJz3336nisnR5ixY6NYs+ZyV/LrrtOu5Pfeq7ecGDlSe7odOZK++WGz+aEUBPsG0+PAAhb9qa+XeN8U1lT9l8WBb8O/m3RBbnTB6JiYmIuuf06hf3/9QTjIQl2SMcqSG1FKh/jsO3oOL68ytKzckpaVW7pbrJw5fx5GjYKxYyE4WPvRG5zLXXfp+CUPVZTS8bH48NOQnwj0CcTf24unnoJx4+CRR6BdO3dLVzJo2jQCL68g7PbL45JSban4WHyoHFyZRmGNmDJoCj1q97jo3uFU1q3TdyQVK2oXMS8P8MsvLXTqBC++CL17u2zIm5rfxOCmg/H28kZEaPtlW6bNnMb7/d6nZpma2brp+fhkxM8ZSgiHDsEtt8Bjj8Hbbxeqi5zczpKtySzZvwQ/ayWS9oWzdVsLwB9IynR2MNUDBtOpU2WaN4fmzaFz5woopcOAly3Ledy8pqjMoRKFcSWvXTt3b8Qpky3s2gW7d8PWrb5s3tyEo8dqsS1VIcjFdnFx8bzzySL+t3UWX9/9HI0rOjgerEoV7T4JOibSYtGLXobLcabZqrRtBTGnnzunPaziU+KlwYcN5PkFz+f7XLexeLGIn58pMucutm4VefBBjy/qezrhtEyMmSnly4sMHFjw8zGuNllITdXuHboGUtaMdr169ZLB0wbLPb/cU+j+i8TZs7oq8S23uGd8QwaJiSKPPupSt90Ua4qMXTJWAl4LkKDXg+S9Ve9JSmpKlsyLFkuwQG+ZNavo7kRmbvAwVq3KqGhdQLLL0NmqQysZOn2oBL0aJlRfJcrLlubKliqBgT3Fzy+jbc+erklX7ypyyjIJcwVEht2eJCIi07dMlxE/fSx7Tu1xXHrz+HiRdu1EnnvOge/ItTh7bjAqpJt4802d0GjTFm+GNh9Kj9o93C1Szpw9C2XLQvfusHevtmkbXM+SJdrdZuRI7Qbpobyx7A0+XPMhjz8US8yyEJKSTIx/URg5UieUmznTwh9/XL7aOXbZWIJ8ghAR11iSMlOmjHYTbenBFvHSwoYN8NVX2sp07bUuGdLH4sPIbiMZ1mIYj0Y/ypPzn2T+v/P54ecfWLt0LRs3bqRZs3B27IiiXz+9Ku+SIHaD87DZ9ITUsiV06FDobqKjo9OS1WgLZFxcHJtidrDntz0MHTSUPa1r0qGFjSt7edGunTdBQQsKbekpDlyaJVkn6Ynkww+jWLMG6tfXCV5mrdzM1PvH8la5HfhIOJKwB1tqctESqQQG6vu79u2d8M5KCM7UxErblt8VooQEHVh43XX5au5e/vhDpEwZkZUr3S2JQUSv5Kdz+rT75MiFs4lnZf2R9ZJayFwClOLV40tXCufOtQqIPPBARhu73S5jFo+RRf8tylefTuGtt0yBWU/k6NGM5y5edbfb7fLZ35+J31g/qTa+mmw4uuGyNhcuWKVHj6zWhIIEsZfmucFjePttEW9v7elQBNr2uu+y2nCgZPSrox0kaPEjff4fO3ZsjpaikydFRo07JTUafyEQlOXzCwgMkDlz5rhBcvfj7LnBOJe7gWnT4NQp8O/8BXN2znG3OLnTujVcd11GDSCDeylTRj9+/DE0awb797tXnmwo41+GiKoReHtDQmoCJ07ocDdD7qSnxx06dCijRo3i5puHcsMN/WjWzMb776e1sdt46LeHeGXxK8zdNdc9giYmwtSp2qJk8CzSUwCvXQtNm2oLgItQSvFg2wdZfe9qLMpCt2+78ed/f148fuECNGwYzYoV2pogIlmC2A3FhLvvhg8/1L+vAnDqFIx+5yhxiTqDQaqqDyogS5vg4CDatG7jMFGLGxaLhQEDBjBy5MiLSXsupUIFGP1cee6/5RhKJWQ5lpiQyLCX36HvkAMsW6YdGAvMtGlwxx2FPLnkYpQlJ2Kz2fj1118ZO3Ysv/76KzabDYDPPoOGTZKZFvcgqw6ucrOUOfD772C369pJEyd6fIKBUkfPnjB4MNSo4W5JcmTEghG0HX8tNWoIX36Z8XpO10VpJ7NbiogQHx9HcnIMd94Zjb8/2MXOXb/cxYR1E3iu83OM7zve9UKK6NpqixeT5Us1eBYhITrhRmioy4cOrxLOyntWUqtsLa6achXbTm67KFLVqhtITc0+U57Bw7Fa9fVfvjw89FCOzTLP73Pm/Mrvv9sYNAgqV7Hz6rNVeXXiEgBi5j1B714dCQ4ORilFcHCwKV5eANITqWTGL8APb//GLP2tGt26Qd16Np4bmcDhwwX43z1yBPbs0asbhgycabYqbVtmc3p2wYu9e/eWbdu0W03k3T+K/2v+cjzuuHgcS5aIgMjXX7tbEkN+OHNGZNMmd0txGd9v+l4YjTRpfUoaNxax23O+LjK7G1BKXW3GjBkjSl3uljJ27Fix2+3y2LzHhNHI2CVj8/sVOJa33hK56y6Xu3cZCondnvHcDS67pxJOybsr3xV7JjmmTp2bFrReuBpMpXVu8AhGjhTp00ckKSnHJpfO70oFCfSWsDCrPPWUXUZ8P1lOxp/M0j4vtzND9uT0X5qamirnL9hk0iSROq3/E5RN2ndIyPN/9yI6m5Dr31ARcfbc4PaJoiRtmSe97DKbBAcHyy+/zJWZ0SfFe0Q1efi3hy/7wj0Cu11k+nQpdNCJwbXceKNIpUqFzkrkLFKsKVJ9fHVpePt7AiKbN+d8XWS+WSqtN0TZfTbpRWc/ivlIGI08+fuTWW4+XcqoUSI332zmheLGmDEitWu7tbj13jN75dC5Q2K1WqVBg94CJmYpfSs2ytKECSIP537P8s03c8XfP+scprx9ZMaM2S4SsnSRl7K59cRWeemnr+W993L+b8mRc+eK1YK5s+cG44bnJDZsuLyAZHx8PJs3b+Qf/0+wBR7lqY5PuUm6HJgyBQ4c0AWghgwx+faLC2+9pV0lLzHJuxsfiw+PRz7Orkr/w8tLmD495+vCuOFkZEMKCspwS+nQIZJyLcrx1PynGNBwAO/0fcf1Ge/sdv04erSeI8y8ULyIioIbbnCbK3WKLYUeE3tw79x7sVgsbNw4n0qVptKy5RimTp1auOxdBtdz//06VjYbduzQJQHvvXc9SUlZ53dsVrZv/8cFApY+8opxalqxKa/dcDcXLmT/v/v11xtJScmh86+/1pV3t2xxkvTFC6MsOYns/EkDAoJYs6YlXyyeR596fahbrq6bpMuGM2d0BdHXXnO3JIaCUquWviECXeX48GH3ypOJuyPuxif0DNVb7mb6dAgPv/y6SC+sWtpJL4TYuvVUqlUbw5QpU/lpzk/cMusWaoTWYNJ1k/BSLp6y166FVq1g1y6972pFzVB02rbVRUO9vHSmlRzvjpyDr8WXzwd8zof9PwQgMNDC+vUD2LAh5yB2gwfxyy/w22/ZHjp0SCtJzZoJP0xNgQZHwCdrGzO/u5/s7kdRAcyeHU7Dhro6zGU8/DD8/beu9mswypKzSF8lzhy8WLVqJHPnXs2RCwe5J+Ied4uYlXLlYMUKLqbdMhQ/4uNh0CB44gl3S3KRsMAwrml0DRd6PMCc31K46qrLrwsT1JvB8eMWVq0awJAhIxk4cAArDq3geNxxpgyeQrmAcu4RKijILYkCDA4mPl7XxXnySZcP3b9+fxqENUBEOJ14murVtd6dlORyUQwF5YMPYMwYbKmplyUIOHIEpky1Edj1S6yPVWfImLN07tTJzO8exqX3o36BfvjVt8HQjwntMBOrbywAmzfbmDs37Tv+4w9s6UpuWi2s0ozxp3AS6avEmYuovfFGFGfYD5WTubaRa4oG5smOHbBuHQwbBk2auFsaQ1EICtKrgA0buluSLNwVfhcztw9gu3UejSzXXXZdlLTigkVhwgRd8/Hhh/X+gIYD2P/EfioHV3atICL6brZtW1i1yliUSgJBQXDrrdCxo9tEeOi3h1h1aBXr71/PH/Mt3HILbN4MNWu6TSRDXvz+O7Zjx+gXFZWWrTMeH58gunWL5Pfff6fTezdzWu3m46if6VqrK7bBNjO/exjZ3Y92v7I7b696m3HLh9L0k7I8W+8bRgx+D4tlDXZ7fEaR27vuwvLoo/pC9eDsu07HmQFRpW3LLVDz5EkRpezi2/sNuXv23Tm2czl33ilSubLIhQvulsTgSGw2EQ8pTpdqS5UKb1WQ7s+Pl3Hj8m5PKQ3itlpFqlcXiYrSBT5XH1yd94flDOx2kfvvF3n/ffeMb3ANiYkuH3LaP9OE0cg367+Rf/8VAZHXXsv/+aV1bnALZ86IpKSIiE4+ExCQNUFAYFCgzJ07V2LjYyXFmuJeWQ2F5p/j/0i7L9oJN1nE4hNweRKIL78UufvurAWvPRBnzw3GDc9FLFoEIooX7gznoXY51yhwORMm6JopwcHulsTgSCZOhGuugaVL3S0J3l7eDGw4kDXLgnn1VTGuNzmwbJkON7v9dpi9YzYdvu5A9G43FOtMTYWTJ+H0adePbXANU6fqQuPHjrl02Bub3Uhk9UheWvQSlWvE06OHnqrE1L/0PB59FNq3JzHOxhtvbCAxMWuCgISEBDZu3EhYYBg+Fp8cOjF4Os0rNWflPSuJCu2L3Zr1zzk+Pp51h4/pZA/pBa9LKUZZchEXLkC9ejDy5ijaVmvrbnFg+nTtw+7rC40bu1sag6O54w6YNQu6dnW3JACM7TmW754ZRmKiYvlyd0vjmXTuDL/+qnXc/vX78/nVn9O3Xl/XC+LrCzNmwKhRrh/b4BpatoT27cHHtTe5SinG9x3P0bijTFg3gbvu0vUvV3lobfZSzY03wr33cvSEhQ0bIvD2Dsxy2CRuKDl4e3kz/Jrhlxe59QuiTZtwAKy7/oP//c8N0nkGxVpZUko9pZSaq5Q6qgugqdG5tL1OKbVBKZWklNqvlBqplLrMkVYp1UUptVIplaiUOqaUelcpFVBUWe+6287TUz/jSPyBonZVdHbtgqFD4d133S2JwVlYLHDddTrW5MgRt1sJqodWJ+rKILy8tAXFcDk+PnD11RAYCAE+ATzQ9gEsXi709Y+Ph+HD4fhxnTnNq1j/PRhyo1kz+OknCAtz+dCdr+hMz9o9Gb9qPP2vTsbHB2bPBpvNdlkCAYN7sNlgRvJAZPjD1K0L/5sdj+2KBPwC/DLKGkR2MIkbShAZpSuCQIFfoB9duujkHL/8AhHdQ9j86ixdXqYUUtz/De8DKgGzc2uklOoHzAT+BqKAD4CRwBuXtGsJLABOAAPS2twFTCyKkCKw/eR2hs8bzqK9i4rSlWNo2BCWLIERI9wticHZJCbqFeT0jAFu5PcDMyhTay8rVrhbEs8jJgZeeknrtHf9chfTt053vRB//w3ffQdbt7p+bIN7OHMGrr8eV5t7n+/yPEcuHOHXA5P56CMYPNhGv379GDp0KKNGjWLo0KH069fPKExuIPbPjVzVfD9DhsD8P2w8+8ezPLn6ZrqN7MaX333JmDGmPlZJJD0JxLRp0xg7ZiwzfpzB/PnzmbJlCocTd3PSXoH2xPDtn1e4W1S3UNyz4TUTEbtSyht4MJd244DlInJ/2v5fSqlgYKRS6j0RSXfcfhU4BAwRkVQApVQK8J1S6k0RWV8YIX/9FR5/vBkLph2gXWM3puC12bTPQ6NG0KWL++QwuI6AAF20tnVrd0vC0QtHsdSK4fTZKxCxlOoEazabzhi1YcMGIiIiWLAgigkTLPS7cx0TN06kVeVWrheqRw/Ytw8qVnT92Ab34O0NO3fC7t0u/U/oU7cPLSq14LO1n/H3A3fz66/RaZnWdIriuLg4YmJiiI6OZsCAAS6Tq7SSPh/NnbuBn79vwLnEa3h//Bk+jL2V6D3zGN52OO/3f9/EJpVw0ovcpl9zydZkXl3yKkcuHOGDn6bw45jruPtuGz/9+CvtO2ymbduIUpPtsFgrSyJiz6uNUqomEA7cf8mh79HKURTwrVLKB+gPvJuuKKUxHfgSuBYolLK0YoUu3ta5RU0C/AvTg4N47z0YORI2bdIKk6F0cMstGc+TksDfPT/CR9o/wvCFilIwr+aKzaZX0WNiYoiP1ylabbZIevSYz+QdXxDoE8jdEXe7TqBTp3SV9u7djaJU2ggJ0f8Hbohdur/N/Twa/Sjrj65n5swNxMdnTSAQHx/Pxo0bjbLkZNLnoxUrYkhKikepIFq1+ICv/ePZ9u82Pr3qU89KSmVwGX7efqy8ZyWDpw/m/r+u562X32X36klEz9/D739kSi9eCqyMxd0NLz80S3vckvlFEdkLJABN016qB/hn0y4J+DdTuwKzdp2dkJp72Rjr5ijW22+HN97wuDo8Bhfx6qvQqZPOduYGlNKKkpTy1FfR0Rmr6CJCXFwciYkx1LhiDtO2TuOGpjcQ6udCC/S4cdCnj45tM5Q+0hWlJUtwpY/ssBbDqBlak31n9/HXXxF4eWUNLjcJBFxD+nyUlBQHCCJxbNoZw67Vu5g3bJ5RlEo5lYIqseC2BQxqMogRE57iaOo/QMZ/1+rV2gJc0ikNylL5tMcz2Rw7k+l4bu1OZzqeBaXU/UqptUqptSdPnrzsuAisXWfjdJk/ORp3tGCSOwqbTQtSqRI89ZQpMFlaCQ+Hbt3AanWbCOOWj6NM+7k891zpVZg2bLh8FR3iOZI4k/PJ57mz1Z2uFejVV2HuXKhWzbXjGjwHqxXuvx9eftllQ5YLKMe+J/YxqMkgrrkmCpFIgoKCLyYQiIyMNAkEnIzdDnPmXD4fSYpwR+U73JON0+Bx+Hv7M/2G6bTzakdqStY4wvj4eH77baN7BHMhHqMsKaWuTMtol9e22N2yZkZEvhCRtiLStmI2LiwHD8K5Mz5QdT0danRwg4TA66/rzGjJye4Z3+AZXHstvP++jmNyEyG+IVw4FcjvC1LcJoO7iYiIuCxFq1JBnKy8i5qhNeleu7trBElK0gspgYHQr59rxjR4Jt7eOrj2119dOqyX8sIudjp1T8Zun8/IkVNNAgEXYbfDAw/AV19F4O+fdT4KDApkYPeBbpLM4IlYvCy8fNPL+ARkddlVKojvvgtnzRo3CeYiPEZZAlYCTfKx3V7AftMtReWyOVYObTXKq135TO0KhAjU67OAyk13Uy3ETSu3ZcroWAQ/P/eMb/Astm+Hu+5yi4UpskYkVN3A9q3e7vIGdDvpKVqDgzNW0bv1aMPm0E0MajIIL+WiaXnkSOjY0SyiGDQNGmjF2WaD2FiXDCkitPq8Fb8mjcDLy0JS0gBGjhzJgAEDjKLkRGw2uPtu+OoreOGFKNq2j8gyH3Xs0NFY9QyXcdVVV9G1Y1d8/LXC5OPjRadOkVSpEkWfPpRohcljEjyISAKwwwldp+fBbQZcDBpSStUGAoFtaS/9CySTEeOU3s4fqAv8VJjBa9UC29X3061au8Kc7hgef9x9Yxs8j+3btdvVjh3QvLlLh25ZuSXe1T4iNcXCjh3QooVLh/cI0lO0RkdHs3HjRsLDw0molcCSn5dwXePrXCdI+/Z6AcUsohjSEYGoKL2Q8uefTnfZVkpxT8Q91Aytyc7WsHKlU4czoL/iBx/UVQJefRXue/IE33y4let69KeRdyvCw8NLTYYzQ8GwWCz88ccfzJs3j/e+eZkr+17Hc/e/zJEjFnr00KGvK1a4/LbCJRRKWVJKdUBnjusAVAMCgFhgJ7AEmC0i2cX+uBwROaCU2gQMA77KdOhWIBWITmuXopT6HbhRKTVaRNKX3W8A/IA5hRl/4+4T7Du9n0fbP1ro91BoZs/WVqWePV0/tsFzuf566N1b/zZcjK/Fl2YtU9g0AzZsKJ3KEmSkaD17dgDPPw+NnnyEsIAwulzhwpT+N96oN4MhHaXgjjtwZcrKJzo8AUCnOSYZoyv4/XdtUXrxRXjlFbDbKnLneiu3Wg/T7JdCrQkbShEWi4WBAwcycGCGm2Z8wA4WL27Mu+9qA3VJpEDKklLqDuAZtPXlArAJ2A0kol3VIoHbgE+UUtOBV9OyzjkFpVRboDYZ7oRNlVI3pD2fl2atAngR+FUpNQGYCkSgC85+kKnGEsBoYDUwXSn1SVrfbwMzRGRdYWTs3ysIyk8k8p56hTm98IjoLFfe3rBsmUnqYMhAKa0oicCqVTpDngvp3roq/9RbSGBQT6B0r14uX67LCrzaoTdRyeF4e7nA2B8dDSdOwG23gZcneWIbPIJhw1w+5H9n/iPWHktV7/YuH7u00b8/zJsH3Xsncvj8aaqHVud/b6zRBcwNhoLwxx/Mnfk/rq22hHnD5vHee/0BXVzdbocKFdwsnwPJ9z+zUmozUBGYhI4b2ijZ5ABWSpUBBqAtOduUUneKyI8OkvdSHgHuyLQ/JG0DqAPsAxCReWlK1CjgTuA48AbweubORGSjUqov8CbwG3AO/X5fLIxwiYlw4nAg1P+X8CqDC9NF4VEK/vpL11AxipIhO374QaeTX7xY19hxEW1qhGO/rQ/Num1DhyGWXjZsgIgIGNzsetcN+s032hVz2DCjLBmyRwQmToSUFJ0FwMncNus2khIsdNyxlP79wZRWciw2m4233orm8OEN9O8fQb/+/bhl1u3EHIph28PbCDZ1Fw2F4cgR+i4+yNh3n6Vnbe3BZLNB7942kpKiufHGDbRrVzIK1xZkGfNrYEJa3aEcEZFzwGRgslKqFVClCPLliojciVZ+8tP2Z+DnfLRbCnQskmBp7N4NIorKtc8Q5BuU9wmO4tQpKFtWZz2rUcN14xqKFzfeqGMTXGxZalm5JQCbjm6hScXSqyxZrbB5Mwy+4zhbT8TSrFKzvE9yBNOnw8mT2upsMGSHUtqNOzFRpxR38oJbv3r9GLXoVf6dbCc11csoSw7EZrPRrVs/Vq6MAeL57rsgKjasyN4Bexnf7kWCnxgBL7wANWu6W1RDcePWW/G7/XZeSlt0O5d0jgtJF7Ba72THjhjGjIknOLhkFK7N97KiiHyQl6KUzTmbRGR+wcUqGexIS1cRGe7i2JBbbtGRdqW8+KchD/z8dFY8H5+82zqQJhWaoFY/yW3try3Vidh27NDZu/9Rk7jhpxvyPqGoJCToTSldc81gyI3vv4f5813imdC3Xl/wslOryQn+/tvpw5UqZs+OZvXqGEAXnY2Li2Pvlr30svbiycRwmDTJzRIaii3e3to7wW7HnpRI70m96f1yb/buW03m31tMTPEvXFtgHwyllLdSKiLN3c6QCzt26P+ZafePdd2gInDPPXDnncb9zpA/Fi/WSUAuK5TqHPy8/biqVTusyb78+69LhvRILBYdNvT+vUP5+pqvnT/g229Dw4Zw9qzzxzIUf0JD9X9IQoLTU4m3qdqGQJ9ALFW3sW2bW+tmlzjefHMDdvslc3sKdPHtghoyRMcvGquSobCcOwf16+P18Se82PVFdm3ddVmR4/j4eDZu3Oge+RxEnsqSUqqXUuqUUipWKdUdXQ9pOvBf2r4hB/r1c0MNUKW0e9XtBS1HZSi1eHvrP8xDh1w25KtDhgIZ1tfSSJMmelG3Z5sadKrpAlfIK6+Ee+/VLroGQ35ITYVmzWDECKcO42PxoX319pwJXUJyMuzZ49ThSg0LF8Lff0fg43N50dl24a3TdgLdIJmhxFCmjM6w26QJg5oMYnCvwXCJs0pAQBDh4eFuEc9R5Mey9AbQG51CewYwUkQaoJM4vOZE2Yo9/wZOYaJfa07En3DNgHPn6pygNptrxjOUDLp0gX/+ARcG+TZsqF1Et24rvUvIp07Bwn//5PO1n2Ozu+Ca7dwZRo92/jiGkoOPj45nuftupw/VuWZnDvj/Rs0r7Jw86fThSgVdu8Kbb0bRpUskvv6+APgF+umis5MmaQ8Ug6GojB8PV18NwA8jfiCkbgj4klHkuGNksS9ynB9lyVdENorIYuC8iPwBICKrgGBnClfcOfhPLSrQiPIB5V0z4OTJ8PHHxv3OUHC8vCA5GWJiXDLcwkOzIegY67efdcl4nkjjxvDwI8KrS17FSzkxK11sLLz+unG/MxSO++/XCypOpnPNztirrGPi4sV07er04Uo8KSk6LHXECAuvfTsG6yArrYa2YsaPM3SwfcuW2mpoMDiCCxfg77/x9/UnZkkMfjf5Uef6OkyeMpkffpjPoEEW1qxxt5CFJz//0Jnb/HLJseKb2sLJnDkDzw/rTL+4qa6pnQIwdaq2u5t0wIbC8NRTuljt6dNOH6p99fYMuHU/V/YqnRnZYmP1diZgLe2rt0c5c4EjOlpXnzx61HljGEo2589rq+Tu3U4bIrJGJAB/HzYZHorK/PnaUWDnTr2/9thaarWvxZJvljBgwACdlWzUKHj2WfcKaig53HcfDBwIVitNKjXho8c/4r+W/3Gk6hECAiysXQsPPlh8HZ/yc1e9QykVCiAiT6W/qJSqjU53YciGffv0Y+3aLhjMZsvIclWSqoAZXMvjj8PMmVCunNOHqh5anbmfR/LwPWWdPpYnkn4TczJgKe2rObkQ5223wb//6iApg6EwJCbqBCHz5jltiPIB5alVphZTJtSgTx+nDVPiSUyE4cPB1zfj/uOxyMfYMnwLZfzT8nJt326y5Rocy3PPwaxZOnMRcG/re+lVpxfPLXyOeK8jvPeeriv42WdulrOQ5KksicjNInI+m0PHgKsdL1LJ4N//7AAsPP2l8wf78UeoU8dExRqKRsOGOiuJi9w4d8Xu5o9Nm7HbXTKcR3ExsUWFHRdX1J1Caqp+dMmqjaHEUrky7N+vF1ScyB+3/UHfakNYvNhkxCssb70F//0Hn38O+y7sZPG+xQAE+qQlcjhyRLvfjR/vPiENJY+ICOjY8eL9g1KKz6/+nBRbCrN3zGbIEJ1j6KWX4PhxN8taCArtryUiSSJyxpHClCQ279T6Zb06LvBUbNBAZyOpW9f5YxlKPu++C++84/Rhrnl2Dv3CW3L4sNOH8jh27ABvXyuU3U/rqq2dM0hCgp4bvvnGOf0bShfpXgspKU4bomFYQ5o29sVqzfDOMOSfY8e0AfCGG3Q1iNeXvc6gHwdxIflCRqPQUPj6axg0yH2CGkom+/fDmDHavAk0CGvAzkd2MrzdcJTSIfUJCTBunJvlLARFChhQStUEagL+lx4TkUVF6bu488/OOPBThNep5fzB2rXTm8HgCFauvGhKdyb16ljYCezdW/rKfFx1FSw+PY2jZao6LwFMXBz06KEVJoPBEXz7LYwcqbX9kBCHd3/0wlH+PDcbeIjdu6F+fYcPUWKx2Ww891w0iYkb6NMnApstis8HfM7WE1sJ8cv0XQUH62LkBoOj2b1bxzZ276434IoyVwCwI3YHdevXZcoUC6mp0Ywdu4GIiAiioqJ0DJ2HUyhlSSlVF5gMpDvbp/vtSNpzoZQnf2g1YCWzUyfRsMKnzh3o66/huusgLMy54xhKD1OmaId3J9OiYSjzgC274ujWrXQl1uzZE2y73qV5UHPnDVKpEkyc6Lz+DaWP5s2hf3+9POwEZUkQfjz6OunKUjHPNuwybDYb/fr1IyYmBpF4nn46iGnT2rFgwQLaVc+0kHroECxfrgPxg4Jy7tBgKAw9emg3zypVsry89cRWWn3einf7vMucCXOIiYkhPj6eoKAgIiMjdXZGD1eYCuuG9xVwBfAE0B/ombb1yvRYqkkpvxHvJvOpHlLdeYNs26aLTE6Z4rwxDKWPdEXp7FmnBg60bqIV/M07sguJLLnY7RCzxsbWgwdpXslJytL27dpkZzA4knbt9AJd5cpO6b5qcFXiX99Lnz5m/a8gREdHs3p1DHFxcYgIcXFxLF6xmB9n/5i14axZMHSoLkJuMDgab+/LFCWAphWb8l6/96hwpAIxMVl/pzExMURHR7tB2IJRWGWpHfCYiHwkIgtEZMmlmyOFLI4si65CleSuWLycqC03bQpbthiTusHxbNumfeNmzHDaEPUq1oDgo/y733kxEJ7IkSPQIdKCffNNzlOWnntO18YprnlaDZ7Nv//C5s0O71Ypha+3D3/8AcOGObz7EsuiRRuIj4/P8pqkCv9t/y9rw+HDYe1anRDKYHAGx4/ri3fhwosvKaV4NPJR/t3272W/0/j4eDZu3OhiIQtOYZWlQ0DpusMpAAkJsHz8Y/jsuNn5gzVrpn2QDQZH0rixLkbZooXThriizBXQYzQNumxy2hieSHrg+i8PfcDQ5kOdM8inn8KkSS6JPTOUMux2XY/NSTV6Jm+ezODpg53Sd0ll584IIKtbXUBAAOHh4VkbWizQpo3L5DKUQsqWhdWrtcvnJYTWCkX5Zs22GxAQdPnv1AMpbIKHN4DnlFKLRCQ+z9aljPTaj1WqObGOwSuv6ADu8eNdlurZUIrw8nJ6atkKgRXw7zCJoCahwLVOHcuTSPeOq1fXgp+3k5SZGjX0ZjA4Gi8v+P57qFfPKd0fuXCEn7+uTdhwOydPeJka63lw/Dj8+WcU1apFcu7cauLj4/H286ZTx05EZQ76mjsX1q+H558HPz/3CWwo2fj56TI22dyX9unXB3s1Oz5HfbAmWxEJoly5yKy/Uw+lUNOQiHwPLAH2KaXmKqUmXbJ951gxixeHDmvXl1rVnRgkf+YMnDtnFCWDc9m3T9fxcgJKKap5N2PTptL1G063LH3z3yjHd56UpC2CW7Y4vm+DIZ2uXaFaNad03aRiE/BO4vQpLxNakw8mTIDkZAsLF87n2peuhZ7w7pfvXh40v3w5fPedS5L3GEo56fellxQ+blq5KTe/eTNeQ7x47uXn6NNnKqdOzefCBc/3gCiUsqSUuhN4ASgLtAa6ZrOVWg4c0kHxPVs2ct4gH30EX33lvP4NBtD1lu6+W1sxnYDEPMKCEW85s3SLx7F3LwSWP8vu8/84vvN//tHKrbnLNDibf/7R8bIJCQ7ttkmFJlDmAAAHDji06xKHzQZffAF9+0KNuglEe0Uz8L6BPHrbo5dnF3vzTdi61SywGpyPzQadOsHLL1926JUer5BSLwVLdwvvvjuADz6wFAtDZ2EN3K8Cs4CKIlJdROpcspXq6qinT+pvfnD7Ts4Z4Ngx/WgmPYOzeeEFXVPFSXFxQyI7Axmuq6WBhx+Gqd+W5eebfnZ85+3a6QwSPXo4vm+DITOnT8Ps2Q5P9FC7bG28y+kJ4eBBh3Zd4rBY9Ffwxhvw1fqvOJN0hpe6vpTzCQEBLpPNUIpJj43LxlW3ScUmXNv4Wj5f+zn1GiVy//3F42dZWGUpDPhURM46UJYSwzU3xPHHoiTKO6PW5IYNUL26niENBmdTvbpTK8b2aKkLph454rQhPI42beCaa5zQcXrmu6AgTKCHwel066ZXOTp0cGi3Fi/LxSnHWJbypm1biGht55O/P6Fzzc5E1oi8vNGLL2r3XIPBVXz0UY6Zmp+IfIJTiaeY/M9kEhPh4491TghPprD/qMuBJo4UpCQxY99n9F0awIUUJ9SPqVJFT3xp1ZENBqdz8iTceissWODwrv3LnQZg1z7nuPl5GiLw/sR9tBh3NWsOr3Fs5y++qLOUmXThBlegFPj76+d2u0O7rletPBU6zaFhQ4d2W6I4cECXWfzvP50Uw9/bn0fbP5p9Y5HL4kcMBqdjtWbrEt6tVjfCq4Tz/ur3AeGVV7TC5MkUVll6HLhPKTVMKRWmlPK6dHOkkMWNlM3Xc2+ZHwn1C3V851WrwtixUK6c4/s2GLIjNFQv+zhhmfe42gjApj2lI8bm1Cl48q7abFlSH39vf8d2Xrs2tGpl0oUbXEdKiq7nNXasQ7utW64OXHcPV1/t0G5LFFOm6PrAADVCa/DPQ/8wpNmQ7Bv/73/w5ZeuE85gAGjfXmv0l6CU4onIJ9h6cisrjv7JkCG6XrKTQqMdQmGVmu1AC2AScAJIvWQrReHal/PDh/U5s/xGx3e8bBmsWmVWiAyuxc8Pdu2Ce+5xeNf9WrTl1fcPcMf1zsms5WlcjM0KOUK9cg5OvfzQQ/Duu47t02DIDV9fXYvtiisc2m3dcnWJjY/l2OkLDu23pCACP/ygY+jLVDnFheQLKKXwym6d2mp1vYAGA8BTT2WrLAHc3PxmygeU57tN3zFsmM4T88svLpavABS2ztIYwNyx58CRozY6dE3i0iJxRWbsWL26v327Y/s1GPIiPQYmIQECAx3WbbnAUF553AkWWA8lPTarTIVEgnwdOD9s3w6NGplYJYPr+ewzh3fZuEJjyi+aSsvPAzhxzOHdF3s2b9aJ7T79FN5Z+Q5frP+Cg08eJNAnm7n5uuu0u+SMGS6X01DKufXWHA/5efsRPSyaZhWbEeCt11smT4Zhw1woXwHIt7KklOokIisBRGS00yQq5qSmwvlzFmLOzgGGOrbzmTN1kRaTBc/gDu6+W/9Dx8Q4tNtXps6kWmAtHry2rUP79UTSLUvVqznwGo6P11nwHnjA6YWEDYZssdm09bmJY0KZr218LQ/3gNdX6K6NZ2lWJk8Gb2+48Ub4N+l6qgRXyV5RAh3H6F3YdXGDoYgcOgSxsRAeftmh9tXbX3w+bJh2nLJaPfPnWhCRlimlTgBz0WnD/xSRUu1ulx2nTunHsDAndB4Sol0eDAZ30KsXNG6sg7kdaMEYN7IaFQJCefBah3XpsaRblupc4cB4JW9vHbzgoBtVg6HAPP649gs7fhxHFU2pUkVPNSdP6ueGDEJC9KJ9WBiE0T7LTedlPPmk6wQzGC5lSFoc3apV2R7+ccuPzNoxi8ljp2KxeK4hoCDKUnXgOuBatLKUrJSan/b8NxFxQuq34sfR46mAD1UqOVA1FoH77tPLSH37Oq5fg6Eg5GJSLwqBZeK4cLyGU/r2NO68E97Yew21KzgwxsPPD266yXH9GQwF5e67oWdPhy6ifLFzDPAKx48bZSkdm81GdHQ0sIHBgyP4dt1JwquFE1E1IvsTDh+GSpXAx8elchoMF3nnHa3d58DpxNPsO7uPC6nnCCGEX36JZuvWDURERBAVFXV5cWU3ke87ehE5BnwOfK6UCgGuRitOnwEBSqklaMXpFxEpRVVTslK+5kl4vBOde11eubjQnDgBixZBZDb1EwwGV2K1wvLlOnW9g9xBQ8oncWx3zpNpSSK0QhzxNeZSM3ScYzqMjdU11268UWctNBjcQevWenMgVarAJnQN9latHNp1scRms9GvXz9Wr44hISGewKBAEislcu+79zLh2gnZn3TDDTrG9M8/XSuswZBO5865Hn6w7YM81O4hbDYbzZr1Y+fOGJSKJygoiMjISObPn+8RClOhloFE5IKITBORoUBFtNL0LzASOKiUWqOUesGBchYbTicfh3L7qVXJgRVpK1eGf//Vy9IGgzuZOlWvIP/9t8O6LB9mwxofWiqSNn35/VnY35maZRxU6Dc6Wlud//vPMf0ZDIXl9GmdnjopySHdfXf3K7z4osMT7RVboqOjiYmJIT4+DhEhPi4e+yE7tWNr53zSs89qF0mDwZ0sXQq//ZbtIZW26DpzzkwOHIgB9O87Li6OmJiYNEuq+ymyzVxEUkXkdxF5SESqA52BRcBtRZauGLJ4eTIse46y3lUd02F6MTmljCnd4H4GDtRZlRwYO1epIiBexMaW/ASb77xaiUo7X6ZhmIOqbd56K2zcaJbeDe5n3Tq4/3746y+HdFe5Mrz+ugnFS2fDhg3Ex8dnfTEFUo+k5nzSoEFwzTXOFcxgyIuxY+Gll3I8PH/PfG75+BaSkrL+vuPj49m4caOThcsfhVKWlFJRSqls896KyGoReV5EmhZNtOLJ8sV+8Oc4qoRUdEyHK1fqlMCbNzumP4OhKJQtC4MHQ0CAw7ps3+sE3NYH5V+ywx5FIPa4L3d07kfbag7K/KeUVpRMhkyDu+nZUyvu/fs7pLu3VrxFhVcbcvx4yV9EyQ8RERH4XlJuwNvfm9YRObg/rl/vlELiBkOBmTBB1wnNgTbV2iBVBG+/rJFBQUFBhGeTRc8dFNay9BtwWim1Uin1ulKqt1LKweXoiyfHT9rA7xw1y1d2TIdKQb16ULu2Y/orZUycOBGl1MUtJCSEVq1a8fHHH2NN8/vq0aMHSik6deqUbR933XUXSilq1CgdSQjyJD4ePv8cNm1ySHf16/hAvYUkyGmH9OepxMVBSoqOt3YIv/4Kzz+va18ZDO7G29uhirufxY9TH8zj4cdM0l2AqKgoypWLBIK165IvNI9oTlRUVPYnDB8Ot9ziUhkNhmypWzfXJA8VAivQq28vvK/wxs8vGFAEBgYTGRmZ8+/bxRRWWWoIPAbsB+4BFgBnlFJLlFKjlFLdHCVgceP0KYUKOkWwb7BjOuzUScclmODtIvHTTz+xatUqZs6cSfv27Xn00UcZM2bMxeMhISGsWrWKPXv2ZDkvISGBGTNmEJLLhV7qsNt1OtrZsx3SXYC9EmwbxD+7LjikP08lNlY/frH9Dcd0uG4d/PijLjhpMHgCZ8/qOJklS4rcVbWQahB8jAOHcnEzK0V4eVmA+XTtOpVWQ1sRNDSIVYtX5Rz8/uWX8PbbLpXRYMiRr76C77/P8fDAxgNJvDmRV995n759x/D551M9JrkDFD7Bwx4RmSAiQ0WkCtAceBawAq+gY5ZKJaG2etSp5qAb61On9Cq+ociEh4fToUMH+vbty5dffkmPHj344IMPLh5v2bIl9evX54cffshy3s8//wxAv379XCqvRxMSAjt2wCuvOKQ7S2JlmD6TJX+VbFeykyf1Y7NaDjItjRoFO3c6NF2zwVAkAgLg229hw4Yid1UtpBoEneRkKYhlzA8i8MUXFv437iqORBzhmoHX4O+by0JJixbQsaPrBDQYcmPyZJg2LcfDVzW4CrwgoF088+eP5LbbBniMogRFTPCglApUSvUDbgfuALoD54FfHSBbscQWX5aGNRwUr/Tmm1C9OiQmOqY/w0XatWvH+fPnOXHixMXXbrvttsuUpUmTJjFo0CCCgrIN0Su91KrlMHebLo2aAVDJ0tgh/XkqrVrB9u3w3RP3Oq5TX1/H9WUwFBU/P115+YknitxV9dDqEHCaM6c954bJnXh56fw6gXU2cSL+BP3r5xIb9uefsHCh64QzGPJi7twcM+IB1C9fn4ZhDZm3ex7nzsHPP0OqBxmVC5vgYYxSajlwBpgBtAKmA5FAmIhc5zAJixkf/7SJ/33moDS+gwbBa685NJjeoNm7dy8Wi4Xg4Ax3ydtuu43//vuPlStXAnDkyBH+/PNPbr/9dneJ6bmIwIgR8OGHRe6qclgASkHc+ZKd7dHPD+o3tDrGo/bhh+GeexzQkcHgYBykwFcNrgoBp4g/74sY4xLTp+ucDUfjjnJFmSvoWy+XAvWvvw4vlMrqLQZPJTjv0JSrG1zN4n2LmTMvicGDHWKgdhiFtSyNBMKBD4G6IhIlIm+LyDoRsTtMumLIPfOGMXbNs47prEMHeOQRx/RVVHr0gIkT9fPUVL2fboVJSND7P/6o98+d0/tpLmzExur9uXP1/rFjev/33/X+wYN6P30l7L//9H663/vOnUUW32azYbVaOXPmDBMmTODnn39mwIABBAYGXmxTp04dunTpwqRJkwD44YcfqF69Oj179izy+CUOpXSGxt27i9yVlxf4Byfyz/6DDhDMc1mxAoKueYnn/xhZ9M7KlYPyDqzlZjA4CrtdL/S9UbTYPD9vP0JaLaLj3TNLvbIkotdHPvxQuyvte3wfVYKr5HzCL7/AlCmuE9BgyAsRbXH+6qscm1zd4GqSbclYq+t7v7R1a4+gsMrS48AfwN3AUaXUOqXU22kpxR2U2aB40nTdH/Sy/6/oHa1Z4xAlwaBp3LgxPj4+lC9fnuHDhzNs2DC++eaby9rdfvvtTJ8+neTkZCZNmsSwYcPwMjEh2RMdDR995JCukryPs+PQcYf05anMnpNCyrzXKRPggCnytddM8LbBM/Hy0t4QDqgLWK3pPqr0mlnqw/L+/VevOXboYEdELhbyzJGQEGjQwDXCGQz5QSlYuzbXBdautboS6BPIxvh51KrlWcqSd95NLkdEPgI+UvqKjQB6AL2A+4BApdTfItLZYVIWE+x2+OmbarR2xBz11FM6VmndOgd05gAWL8547uOTdT8wMOt+mTJZ9ytUyLpfpUrW/Zo1s+7XrZt1v1GjwsudxqxZs6hRowYhISHUqlUL/xwyiA0ZMuRiprytW7fy008/FXnsEkv6H3Z60eQisPz3ylStWMsBQnkuh44lQWACVYKLWFYgLi5fLg0Gg9uYPNkh3ZT3rsHenSFcuJBr5uESz6pV+jG52mKqvTuMxXcsplGFHP4XFyzQwZHDh+t07gaDp7BsWa73Cr4WX2YMmUHTik052Uk7Fzng9sIhFGm9RkQE2AKsBzYAO9AKWIeii1b8sFq1r0CqT2zRO5s8GT77rOj9GABo3rw5bdu2pVGjRjkqSgBlypTh2muvZdy4cbRt25Ympnx87jz+OAwYUORuOrUPoE4dD5gRncjRE1YIjKVyUZWlXr1M/RRD8SApqUinN7fewdqXv2b1agfJU0xZtUori21aBtCnbh9ql62dc+NffoFx48CDMokZDEC+tJ6oBlHUKluLzp11rhhPqatcqGUHpVQntCWpJ9AR8ANOAYuB74C/HCRfsSI5VRc53Z+0CehdtM5q1dKbweU88sgjJCUlMWzYMHeL4vnUqaMDuou4/PPc17/y794UZrw2yIHCeRYnYwWCTlIpqAipw0Vg2DAHVrY1GJxE377a66AI9die6HUbXwKnS3a96jz5+2+IjIQutTvSpXYe6cA//hjGjvWM5XiDITMXLsDgwfo/7I47sm2SmJrID5t/oF6X1uzY0YYrrnCxjDlQWBvtcuAssBR4HvhLRP5xlFDFlVSrzm1RsXwRswF99RXUrg1XXll0oQwFpkuXLnTp0sXdYhQPHJAiGGDmtCD2rWkHrzmkO4/k7GkF/meoHFS/8J0opa15BoOnc911RY5bSs9hEhsrQOm9+V+2DA4eTeS/M0epU7ZO3jFL5cq5RjCDoSAEB4PVmmsTi5eFJ+Y/wSPtHqF/nzYuEixvCuuG15a0FOEi8qE7FCWlVEOl1AdKqc1KqTil1FGl1BylVKsc2t+nlNqhlEpWSu1USj2YQ7vrlFIblFJJSqn9SqmRSql82bNTbXZQNqpWKEKqbxEdvO0gn2+DwemI6OjjIhASasWW4Iic2p7L3R99A9fcWzTL0qZNRXZtMhhcwvDhcN99Reri5306c9bh46W71qC/P+y1L6Peh/X4a18ujjtLlui0eadOuU44gyG/KAWLFuVoVQIdt7TrkV2Mu3Icc+Zoj1JPoFDKkoisT4tXyhYXZcTri3YD/A4YCAwHKgKrlVJZ1FGl1H3ABGAm0B/4CfhUKfXQJe36pbX5G4gCPkCnSc9XDlS/wGR42YdOnYoQCqYU7NoFb71V+D4MF7nzzjsREerXz3k1f/HixSxfvjzXfiZOnMihQ4ccLV7JYPhwiIigKPl9y5S1gzWAxMSSmyP4vDpImXJ2/Lz9CteB3Q69e3tOOQGDIS8SE3Uqt0LSpkYLfAOTOH269KbD+/lneOYZ+Ovf5ViUhfbV2+fcePt2XcLDFFE3eDq53C9UD62OUoo//9S2A5vNhXLlQGGL0uZYiTJNUZpfaInyzzSglYiMF5G/RGQWWhFKQqc2T5fHG3gd+F5EXkprOxKYCIxVSmX2ExgHLBeR+9PavYtWlJ5USuVS1EBjtVvBSwgLLKIJ3NcXKlYsWh8Gg6u4/np4/vk8zeu5Uaasfjx+qmRaTURgwYQ+BB3tX7ROJk2CB7M1ihsMnkdUVJGSkUTWiGTSN/7cc0fOSXlKOnPmaEeTlUeWEFE1gmDfXNaiH3wQTp7UpiiDwRPZsEGHmaTX0cyGQ+cPcefsOwmptYf4eIeUcywyhV2uuUspdVl5aKVUIPA7ULNIUuUDEYm91LolIueAXUD1TC93RFucfriki++BMKALgFKqJrrQbnbtfNCWplyJP+8NcyYQaCmT/zdyKY8/blzwDMWLvn2160cR4hPKherwyWOn4xwllUdhs8H2XwbQyn5X4TuxWOCqq6BtW8cJZjA4kxde0MkGComI0Oea0zRpVTLnhfywcSO0aiWsPbKWTjU65X2CSexg8GRq1tTZSgIDc2wS7BvMd5u+41w57XK6fr2rhMuZwipLQ4DRSqmL//yZFKU6aPc4l6OUKg80B7ZnerlZ2uOWS5pvTXtsmls7EdkLJGRqlyNJid6w4W7KBRayIITVqiM5TTFaQ3EjLo6i5Pft0uc0PFqf4IolM+1VuhvBTW37Fb6TuXOL5NJkMLicfv30YkohOXT+EGHPdOGNH/9woFDFh5QU2LYNqjeIJSE1gbbVclko2bdPf9Zr1rhMPoOhwFSooF1F2+fsTlrWvyyNwhqx13sefn7aGOVuChuz9Du6AO3nSqkBSqkAIBqoD/QQEXf9o3+ETpnzfqbX0vLpcOaStqcvOZ5Tu/TXymfzehZsNiDgLL7ehVxh9/bWKvTo0YU732BwFy+9pOv/FDL5QNUKgRD2Lwn2cw4WzDNIV5ZCQwsZk5WaCkOHwrvvOk4og8EV7NiRq8tNbpQLKAcL3mbSa/mwqJRAtm/Xl75Pdb222656u5wbnzqlE+2YQrSG4kBi7klbOtTowN/HV9KypXD0qItkyoVCR02KyCTgZWA6ur5SI6CXiBTKu1ApdaVSSvKxLc7h/BeAW4BHRGRPod5U4eS+Xym1Vim1NjXVjpdffNE79Sq9wayGYsoDD2jn+kL+UdsuhMGKZ9i2o/BxT55MurL07Y73CteBt7fOhPfMM44TymBwBU89BQ89lHe7bAjyCUL5nychvnQqAMeP6/Dl82WXEuIbQsOwhjk3btNGL7a2bu06AQ2GwvDdd7rK8okTOTaJrB7JifgT/PDrfn64NDjGDeR7BlJKZXcH/w5QA7gZXYV1V3o7EbEXUJaVQJN8tEvIRrYH0YkYRorIN5ccTrcUlQMy66fplqLT2bS7lHKZ2mVBRL4AvgAILdtaKlQKy0v+nOnbVwfEPvlk4fswGNxB06Z6KyS2eL2CvKX/3w4UynNIV5b6N+tQuA6Ugnr1HCeQweAq3nyz0NnZlFL4BSaTdLCItQuLKX37aoWp/Ze/0qZaG7yyvQ0zGIoZERE6njGXjHiRNSIB2HAihoaVartIsJwpyHKNFcjpnSlgY6Z9KWDfiEgCsKMg5wAopW4DPgXGi8jr2TRJj01qRlZlKf3Obls27VZl6r82EJipXY54e3lRp3ohs6anpkLZsrkGvRkMHs2OHToa+eabC3xqRK0GADQpk4ubSTGmbFlITgaLpZDuRB98AOHh0L27I8UyGJxPixZFOt0/OIXz8aU3u1uqPYXNJzbxeGQuxahFtGXpvvsKbcUzGFxGy5Z6y4XmlZrj4+XDX+sOMvlF7ekfGeki+bKhIArNGHJWltyCUup64FvgKxHJyT9lFRALDAMWZnr9VrS1aAWAiBxQSm1Ka/fVJe1S0TFZuVKh+nle+XoJUIgbGh8fmD694OcZDJ7Ct9/Ce+/BtddCQMEKM5cJ1SumFy44QzD3IyIciNtD9ZDqBFgKWLTaatVxjPfcY5QlQ/Hkt990jMINNxT41MBgK2dTfUlOdoJcHs6VV8K111mYd8s8qoVUy7lhQgI0aADlili2xGBwFTabNptWy/537WvxpWnFpuw8t4nFc6F//2KiLInIaCfKUWCUUt2AqcAmYKJSKrN/S7KIbAAQkVSl1MvoIrSH0QpTL+Bu4FERScl03ovAr0qpCWl9R6CL0n4gIsfykunwhcOMWzGO7rULcUNjtZrATEPx5rHHdArxAipKAEFBAihi/svTgFssOXEqhQZR8/jpm+rc0GxwwU729tZ/KgmXeSAbDMWDDz6AM2cKpSzV7ryG0Np7sFhKV3KT8+fhzz+hTx8Lvev2zr1xUJDOMGYwFBduvhm2bNFZTHKgVZVW/LFnAaGhOiukOynOd+e9AD+gNWnWoUzsB2qn74jI50opAZ4GngUOoBNBfJr5JBGZp5S6ARgF3AkcR8dCZefedxn+cY3oeKSQkWitWmnVefz4wp1vMLib6tXzbpMDvr4KvJM5EnvegQJ5DvHxCjbeRfnAQsZk+frqzWAojkycqFMGF4JqteM5E7gGb+/SpSylVxBJLruJ3/ccpX/9XApa2+0mMZSheHHvvbqAci50rNGRPaf3YG1iZ9s29/6+8z26UmqOUiqiAO39lVJPpSVfcDgiMlpEVA5b7WzaTxCRhiLiJyINLlWUMrX7WURapbW7QkTGiIgtPzKdP+fF4T2FSPBgt8P11+ead95QcKZOnYpSiqVLl2Z5/fjx4yilqFy58mXnfPLJJyil2LJlC3a7nW+//Zb27dtTrlw5goKCqFevHjfffDNrsqllsWrVKm6++WZq1KiBr68voaGhtGvXjpdffpmj2eS+jI2N5aWXXqJFixYEBwfj7+9PvXr1uP3221m8eLHDPgeXsnBhoRX+owf9+P3rQiZA8HCsVsD/LOUD8qxAcDljxsDXXztcJoPBZVSrVmhl3y+pBsfWduDUKQfL5OHsSIvgnn/uA0YuGpl74+uugyFDnC6TweAw+vWDW2/NtcmDbR9kxd0raN7Miy1bUnjllVfo3bs3r7zyCikpKbme62gKYlnaB6xWSm0EJgPLgc0icjHXr1KqGtAeGAgMAo4ARShZX7yw2YWz9kPoBIEFwMsLXnvNKTKVZrp16wbA0qVLLz5P3w8MDOTEiRPs2LGDxo0bZzkWFhZGs2bNePrpp/nwww954oknGD16ND4+PuzatYtZs2YRExND+0zK7fjx43n22Wfp2bMnr732GnXr1iUuLo6VK1fyxRdfsHbtWqKjM8LetmzZQr9+/RARHnnkEdq2bYuPjw87d+7khx9+oGfPnhw7dixbhc6jmT9fryI//niB3UqrVHGOSJ6AzSbgd4Fy/oWIKfjjD2jSRMcsGQzFlfff1+5i991XoNOa2G9k8sSO/HOHc8TyNFJSUnjttdeYNGkFSnVmxr1vkUAe9ee6d9cZMw2G4oIIHDyoH2vVyrVpREQK331XhbFjddLqRYsW8fHHH3Ps2DF8XeVxISL53oB66MKvpwEbOkPeaXSWucS01+zAauAOwFKQ/ov7Bm2ky21/SoE5dkzEZiv4eYY8qVevnvTp0yfLa4888ogMGDBA6tWrJxMmTMhyrGrVqnLttddKQkKC+Pr6yhNPPJFtv7ZM39eiRYtEKZVj27i4OPn2228v7qekpEiDBg2kQYMGcuLEiWzPmTx5spw6dSo/b9GzOHdOJDW1UKf2eHiqXPfcbAHWigdcz47c/IKaC9Vi5Gzi2UJ9NmK1Fu48g8FT6NZN5KabCnza2rUiIPLLL1Ii54Y2bdpcfK/JyclSrlw5QSfTEkDKlSsnycnJBf7cDAaPxm4XKVtW5IEHcm02YMoAibgpIss1kb69/PLLF9s5e24oaHrvf4FHlVJPAx2BSKAa4A+cQqf+Xioi+wunuhV/QoIKsbpz1VVQtSr8+qvjBSrldOvWjZ9++gmr1Yp3mqVj6dKlDBs2jLCwMJYuXcr9998PwO7duzl69Cjdu3cnPj6elJQUquRg7vDK5B/+5ptvUqFCBd58881s2wYFBXHnnXde3J85cya7d+/m559/pmLFitmec8sttxTm7bqf0NBCn/p3dFP8A0tmUVoE8D9LsG8hSwtYLA4Vx2BwOQsX6qyvBcQ/MAXw5dSZEjo3ZOK1117jzJkzWV47c+YMz7/yPO+OyyFmKzlZW/HNHGEoTiilM+jWrZtrsxaVWrBjT/ZVhVauXOkMybKlUBFTIpIiIktE5C0ReUJEHhSRl0Tk+9KsKGFJJqxiQWvxoiucF9A1wZA/unXrRlxcHOvXrwfg7NmzbNmyha5du9K1a1eWLVt2sW16bFO3bt2oUKECderU4Z133uHzzz/nwIED2fZvtVpZsmQJffr0ybc5+M8//8RisdC/fy4Bu8WZzz+HkXn42GeDj6+V1OSS+YdftvpJAu+5HotXAd/f88/D0087RyiDwZUUQlECWHp8LgB7j5X8oKUVKy7NVaX5e3UuiWG+/hpCQuDECSdJZTA4ieuuy7Pe0hu93+Cm/kOzPdapUyHrFhaC4pwNz/OotIU+gw8X/Lxhwxwvi4PpMbFHnm0GNBzAM52eudj+zvA7uTP8TmITYrlhet4pYy9t/3THpxnYaCA7Y3fSqEKjQsndPa0uzdKlS2nfvj3Lli3Dz8+PNm3aEBYWxoEDB9i3bx+1a9dm6dKlhIaGEh4eDsCUKVO4+eabeSityF+1atXo378/DzzwwMV4pVOnTpGUlMQVV1xx2dhWa9aV0HTL1qFDh6hYsSIBl6TYttvt2O0ZyrbFYkEVRz/0jRth164Cn+bjbyP+dMksPmkTGyG+IQU/MS5OF6w2GIo7qak6A1bv3nD77fk+rVsDnVdKkgtx/RQzOnfuzKJFiy57vWe3njmfFB6uyzbk4KVgMHgscXGwZo3+DZfPOfnRcy8+yxtvfIxIhtW1XLlyjCzEomxhMbkmHUyBb4i2bYNjeZZwMhSSOnXqUKNGjYtWo6VLlxIZGYmvry8NGzakUqVKWY517twZS5o7Q4cOHdi5cyfR0dE8/fTT1K5dm++++46OHTsyadKkXMc9duwYPj4+WbZLladLueqqq7K0/7q4ZkD77DPI5g8/L3z9bFhTCrf67OlcOF4e+4b83yBe5OOPYcIExwtkMLgaHx+dD7uA/3dNq9Vl8WJ44O5A58jlQYwcOZJylxSWtQRacr8p7NQJxo0zCR4MxY9t2/TiSSYPn0tZeXAlZd8pS/O226lR42V69+7Nyy+/7NrkDhjLkmM51ZCju6pCkwKc88QTEBsLaW5insriOxcXun2FwAoFOv/S9oW1KqXTrVs3oqOjERGWLl1Kv379Lh7r0qULS5cupVevXuzbt48HHnggy7l+fn7079//osvcrl276NmzJ0899RS33347YWFh+Pv7X+amV6FCBf7+W7tOfPHFF3z55ZcXj9WoUYOFCxeSmJiYxbr00Ucfce7cOY4ePco111xTpPfsVgr5p+3nb8eWUjJrCaXGB9NKCqEsGQwlidWrC3xKsi2JwPr/4Fe2tuPl8TB8fX05duwYN9zwGnPnriSg0zaGPJGLi7cIHD6sa9wZZclQ3GjRAhYsgLZtc2xSp2wd7GInuGosx/ePYeFCF8qXCWNZciQpIUhKUMHOef11eOcd58hjALQr3pkzZ1i9ejXr16+na9euF4917dqVpUuXsmTJEoAsKcazo2HDhtx0002cOnWKEydO4O3tTbdu3ViwYEGWvP/e3t60bduWtm3bUq1atSx99OrVC6vVyu+//57l9QYNGtC2bVtatGhR1Lfsfh56CF5+uUCn9H1yOiFP5zxpFmfsdkVk3eYFO+mNN6BzZ7Dlq8ybwVAiOXz+MO2f+h8f/LTO3aK4BF9fX1q1GoOX1wISe5+kSdVcVl8PHICaNU0dNkPxJCAArrwSypbNsUmV4CqE+oUi5f7lxAm4cMF14mXGKEsOJjiggMa6du2gVy/nCGMAMhSgcePGISJ07Njx4rEuXbqwe/dupk+fTmBgIO3atQMgNTWVUzlUQdyxYwcBAQGUKVMGgBEjRhAbG8tzzz2XL3kGDx5MvXr1eO655ziZRwXrYktyMhSwaFxooB8J9vNOEsj92L0LOMtXrgwNG5osV4aSw6FD0LEjzJ6d71OCfYPhj/Es/KmO8+TyMPbuhcrVUsBipUH5Bjk3DA7Wrro9erhMNoPBoWzbBjNm5HhYKUXjCo1JrryMm26C+HgXypaJQrnhKaXCgSuBWui6SoeBJSIS4zjRiichQQVwI9qyRbvgde1qboicSOPGjalUqRJz586lTZs2BAdnpG+OiIggODiYuXPn0rNnT3zSMjadO3eO2rVrc9NNN3HllVdSo0YNTp06xbRp04iOjmbEiBH4+fkB0Lt3b8aNG8fzzz/P5s2buf3226lTpw5JSUns2rWLadOmERQUdDFZg6+vLz///DP9+vUjPDychx9+mHbt2l10wZg5cyYAISHFOKD5m28KfMrh9a1ImfsO8Jjj5fEAfj84gzcKUqP7nntMIVpDyaJSJb2aXICC1cG+weATS0JC6Yka6NQJkkJ2MxNoEJaLshQWBg8/7DK5DAaH8+238NFHcP31Od4HN67QmD/PT2X9m2+7WLgMCjT7KKWqAt8CfYBLHWRFKbUBuFlE9qS1byQiOx0iaTGhQaWa+W/8+efw3Xdw9qzT5DFounXrxowZM7K44IHOONexY0cWLFiQxQUvNDSUUaNGsWDBAp599llOnDiBv78/zZo1Y8KECdx3Sar3ESNG0LlzZz744ANefPFFTp48ib+/P40aNeKmm27iwQcfvJg4AqBly5Zs3ryZd999lylTpvDaa69ht9upXr06Xbp0YcmSJXm6BJY0zv1XH9bcQklUlizewoCWBUhzarXqPw4Th2AoSfj6Fjj5S4BPAPjEk5hQ1jkyeSDDh8PppbOZ+RfUL18/54a7duksYhUquE44g8GRPP64/sF75ezoVr9cfSZdmERiaiJ+loDcmjoNpQvf5qOhUmWANUAFYBwwB9iXdrg2cC0wIm2/BXAF8KuIlJp8loGBbWX37rVUr57PE06dgt27oUMHp8plMLic1FTtbjN4MLzwQr5OefttGDECQK0TkRIVvNS2bVtZu3Zt/k+YNk2vGMfEQP1cbpYMhuJI+n1HPhcDLHWXUS24Kof+aVDi5wabDZKS4PkljzJ752wOPnkwt5O1svTHHy6Q1GBwD5M3T+bWWbdS7etkhgzy5f33L2+jlHPvGwqinz0PlAFai8jbIrJTRJLTtp0i8hbQDrACs4GFwBaHS+zBhF1xnAqVkwtwQphRlAwlEx8faNVKBx/nk0vKTpUozief58C57AsbZ0vt2lrRrFXLaTIZDG7h99+1JWT37nyf4u2XQnJi6XDD27VLhyJ1jfuIPY/uyb3xm2/mezHKYPBYfvghV4tz3XJ1AfD2S+ZgLmsHzqQgytL1wDgR2Z9TAxHZC7yJVppmA32LJF0x49D5Q9jFnndDgD174Isv4MyZvNsaDMWRr7+GW2/Nd/NDCfm/eSpu7N4tvD+nAKu/HTro+cGnZNadMpRi6tSBQYNydbu5lKpD3qDDkx84USjPYX/aHVb16uDn7Zd74969oWcuBWsNhuLAyJG5ZnRMV5YCK5zmQAHWHB1JQZSlWkB+cneuA0REbhORUlV6PvBcG7zs/vlrvGABPPCA+1J7GAyuwG7X8Tf5wNc/FeVdsAx6xYbkMnjbyuavrc0GJTVLosHQqBF8+WWB3EvLVT+NKv+fE4XyHA4d0o9jNzzAor25xHcdOaLddAuYddRg8DiWL4eJE3M8XCmoEs91fo4GdfyKhWUpHiifj3blgLOFkqaYk5AAvr75DMh+8EH491+oUcO5QhkM7mLDBihTRi8M5IMxjzXFnloyi9IChOY3U+bOnTpr2E8/OVcgg8GdxMXlu6ltX0d2/t7DebJ4EIcP68d9tlWcSzqXc8Off9YW6BxKXBgMxYYaNXL1olBKMe7KcbRrUoXjx3VMn6spiLK0BrgtH+1uT2tb+lCS/+RVSkHduk4Vx2BwK/XqwR13QNWq7pbEIygXnM+grHLldLaLtJpfBkOJ48UXdTxjPhNM1T/xDPt/etTJQnkGhw/rtZIdj2/m+ibX59xw8GCYMweqVHGdcAaDM9izB0aPhmPHcmySkJpA3fBDPP20e4ypBYmYfB/4XSn1DvCiiGQRVynlC7wBXAdEOUrA4kU+45USE2HUKBg2TAfBGwwlkdBQXTAxn/y2ehe3PrHDiQK5l7LB+XTRrVoVnnnGucIYDO7kyiuhbFl91+OXR1wO0Lx6XWYnOl8sT+Cqq6Bx43w0rFoVBg50ujwGg9M5fBjGjNHxdzko/y/9+RJf/vMlF96+cLFmpSvJt2VJRP4ARgJPAoeUUpOVUq+nbZOBQ8BTwOi0tqUPlb9VMv79Fz74QD8aDCWd48fz1ezsWeFszDVOFsZNWJIoH5pPZWnHDu3TazCUVHr10nUC8qEoASSp0/k1QhV7rrsO7B3eIWpyHmvOP/8M+/a5QiSDwbl06qT/87p3z7HJLS1u4atrviIu3s6FCy6ULY0ClXYSkTeAK9FJHK4DXkjbrkt77UoRGetYEYsPXn75vMFp3lz7aw8Y4FyBDAZ389FHeqUoNjbPpiFBJTjzW6WtVK2cz/fXvbuusWQwlGQSEnSSgnyw8thCJwvjOezZA6v3bmLP6VzShp8/r93wpk1znWAGg7Pw8QH/3BcT21Vvx3X1byY0xMJHH7lIrkwUuHCBiPwF/KWUsgBhaS+fEhGbQyUrhvhVPJT/xiYlsKE00KuXtqJaLHk2DQ4ouckdAPy982FZstt1yvDKlZ0vkMHgTjp31q5k8+bl2fTKBl1Y4QKR3E1SEjRoADWu60LD63NRJIOC4J9/dHyjwVAS+PZbnawkBxf0ZGsya47HEBrahaNHC2TncQiFrvKWphydcKAsxR4vlc8v8PnnoWlTuP125wpkMLibZs30lg9CSrKydKohfpZ8KEteXnDttc6Xx2BwNy+/rG/688FT91fjriG6VnNJJt3QFue3g1plcilIbbFoDxWDoaSwYIEuMpaDsnQh5QLdJ3ancrlTHDuWn8TcjsX16lkJJjm2et6NRGDhQp1W2eB0Jk6ciFLq4ubr60u9evV48cUXSbok/2RsbCwvvPACzZo1IygoiMDAQFq0aMHzzz/P0aNHL7Y7fvw4jz32GA0bNiQgIIAKFSrQpk0bHn/8cZKTky+269GjB126dLlMpqlTp6KUYunSpVleP378OEopKmdjVfjkk09QSrFly5aifiSu5+xZ2J13wdmQQF8IKJlpcFVqMJWDK+XdcOtWKI7fscFQUAYNgn798tX0eOpu1sSV/FT66WnDz/psy11ZWrYMZs1yjVAGgyv44QdYkbP9OCwgDH9vf3zLnibT7ZjLKLRlyXA5YsvHx6kUrF2b75SpBsfw008/UaNGDS5cuMCsWbP43//+x4ULF/gozfl127Zt9O3bFxHhscceo23btgBs2LCBCRMmsHPnTmbNmsX58+eJjIzEy8uLZ599lsaNG3P69Gk2btzI5MmTefXVV/HLI2i5W7duACxduvTi8/T9wMBATpw4wY4dO2icKSXS0qVLCQsLo1k+rTQexbBhutLipk25NqtVww+eC4TRrhHLlXh5KQJ9AvNu+NprsGqVCdw2lHysVl1TrGJFnSs7F775cynjJpT8orTpyhKhh7iizBU5N/zsM1i9Gq7PJbW4wVCc8MrddqOUokZoDVJCjnP0SP4LWjsKoyw5EJXfbHi6sfMEMVxGeHg49dMqxvfp04fdu3fzzTff8MEHH2C32xk8eDD+/v6sXLmSSpn+uHv37s0TTzxBdHQ0ADNmzGD//v1s3LiRVpnSvg8ePJgxY8bkS5bq1atTr169yyxLS5cupVevXmzfvp2lS5dmUZaWLVtGly5d3JIys8g8+yxksrjlhJ93/jJjFUuUYBd73q66r76a76B3g6FYc+yYdiX75BMYPjzXpuePVoZF96Crk5RcLipLIYdzV5YmTIATJgrCUII4fhxeeknXZuzaNdsmNUJrcLz1bB69pbOLhTNueA4lX/exH30Ed99tLEtupnXr1iQkJBAbG8usWbPYsWMH48aNy6IopePt7c3AtHoWp0+fBqBKNrUA0l398kO3bt1YtWoVVqv14mtLly6la9eudOnSJYsitXv3bo4ePUr3XNJqejQ9euTP3Ua8UNN/dro47sAmqSjy8dto2FB/XgZDSad6dZg8OV9ZYYP8S8e6bq9ecPtzf4P/OWqE1si5YUiILvptMJQU/P1h7lw4cCDHJjVDa5JQ5yceesiFcqVhlCUHEuQbkHej06f1ynFxtBCUIPbt20eZMmUICwtjwYIFWCwWrrrqqjzPa9++PQA333wz8+fPJz4+vlDjd+vWjbi4ONavXw/A2bNn2bJlC127dqVr164sW7bsYtt0xSmzy16xwmaDdetg795cmykFbL/OJSK5muAgr7wV6WPHdBzCuXOuEcpgcCdKwS23wBW5WFDSCAosHcpSRAQ0H7gYFFQNqZp9owsX4J13YNcul8pmMDiVMmW0dWnYsByb1AitwaEzJ9m23UYhb70KjVGWHEhQUD4UoFGj4PffnS+Mg+nR4/Lt00/1sYSE7I9PnKiPx8Zmf/zHH/XxgwezPz53rj6+c2fR5bfZbFitVs6cOcM333zDzJkzee2117BYLBw8eJCKFSsSGJh3TEm3bt149dVXWbFiBf3796dMmTK0bduW0aNHc/bs2XzLk24lSleEli1bhp+fH23atKFr164cOHCAfWlxK0uXLiU0NJTw8PCCvm3PwGaDDh3gyy9zbaYUDBxYMhcRGjXIx83e4sU66D2XlTWDoURx/DjMmZOnp0VwKVGWNm8G6+madK7ZmRDfkOwb7d6tXZu3bXOtcAaDm6kRWgPbvg40a2rh779dO7ZRlhxINp5ZBg+hcePG+Pj4UL58ee655x4eeOABHnnkkUL19corr3DgwAG++uorbrvtNk6dOsWrr75K8+bNOX78eL76qFOnDjVq1LioLC1dupTIyEh8fX1p2LAhlSpVynKsc+fOWPJRq8gj8fXVmu+DD+bZ9JdfXCCPGzibdDbvRtdcA2vWQKNGTpfHYPAIZs/WqfLzWCAICSzBZQUyceedsGLCzSy/e3nOlujWrbWHSj4zCRoMxYaJE+HGG3M8XDO0JgTrVHjHjrlIpjRKx3KNp7BpEzzwgA5obdPG3dIUiMWLcz4WGJj78QoVcj9es2buxx1x7zhr1ixq1KjByZMneffdd/n000+JjIzk9ttvp2bNmixYsICEhIR8WZdAxyzdc8893HPPPYBO7f3II4/w9ttv88477+Srj27duhEdHY2IsHTpUvpl+vNLj1vq1asX+/bt44EHHij4m/Yk+vd3twRuZe8+e96NAgOhXTvnC2MweArXXgutWuW50tigoQ1GhMFbLpLLTZw4AflyIDDFaA0lkXPndOZcmy3bQvZVQ6pCiFaWXJ0+3FiWXElysr4hCg11tySljubNm9O2bVuioqL49ddfadiwIc8++yzx8fFceeWV2Gy2ixnvCsPDDz9MuXLl2FYA14ju3btz5swZVq9ezfr16+maKQNM165dWbp0KUuWLAGKcbxSOidOaL/LuDh3S+IebPlYGf/6ax3bZTCUFqpU0S66eZRbCAkIgMDTLhLKPYjoaXLh8cm8sPCFnBv+8IOeKwyGksbjj8PKldkqSgCNwhox646J+PiIy5NBGmXJlbRvD4sWQYMG7pakVOPn58fbb7/NiRMn+PTTTxk0aBCNGjXiueee4+TJk5e1t1qt/Pbbb4AuHGu3X24lOHr0KOfOnaNq1RyCcrMhXQEaN24cIkLHjh0vHuvSpQu7d+9m+vTpBAYG0q64Wxz+/htuvjnPWksllTzLCqSkaKuzKTRpKG0sXQp//JFrE3uyPyws2WnDz52D1FSoVS2Q2mVr59xw8mT47juXyWUweAohfiFc1+RaKlRQxMa6dmzjhmcolVxzzTW0a9eO8ePH88gjj/Dzzz/Tp08fwsPDefzxxy8Wpd20aRNffPEFjRs35uqrr+b777/niy++YNiwYbRv357AwEB27drF+PHj8fX15eGHH84yzqlTp5gxY8Zl47ds2ZLGjRtTqVIl5s6dS5s2bQgODr54PCIiguDgYObOnUvPnj3x8fFx7gfibLp1g40bIVPtqFJFXsqSr68OdjclBQyljdGjdZagvn1zbFI9uDYsfwF40VVSuZz0lfIHul/PrW1zaThvHiQmukQmg8GlxMXpJEd33JFjVrxFexfxwIs16B3e0KWiGWXJlbRvr2tKvPKKuyUxAK+99hr9+vXj888/58knn2TTpk288847TJw4kdGjRyMiNGjQgEGDBvH4448DcPXVV3P48GFmz57Nhx9+yPnz56lQoQKdO3dmypQptG7dOssYO3bsYMiQIZeN/fbbb/PMM8/QrVs3ZsyYkcUFD8BisdCxY0cWLFhQ/F3wQNcFyVTEt7SRr0oBYWFOl8Ng8Di++CJP1/SwkOBcj5cEKleG6T/Zad9OQW412ZTS7vwGQ0kjKEgvBNhsOTZ5NPpRGldqzKguM10oGCgxK5kOo23btrJ27drsD9rt8NBD0KmT1poNhtLG4sVw8iRkozxmRim1TkRyW1stdviH1ZakU/tybvDbb7B/Pwwf7jKZDIbiQmJKMu26nGPr35VL3NyQ+b5h2f5lXPn9lSy4bQHdamWzSLZ3L7z/Pjz8sC5gbTCUMrae2ErciTAkrgodOmS87uz7BhOz5Cq8vGDCBKMoGUovn30Gzz/vbincQkDZPArN/vgjvPeea4QxGDyJ06f13JBLkdUkWwJbr67sQqFcz549MP8PGykpNsoHlM++0X//wTffmMLVhlJLs0rN+O7TKgwc6NpxjbLkKrJJCmAwlCrefx82bHC3FG7BK6+p9rvvcHmVPYPBE4iP1xbVv/7KsUmoXyibH9zsQqFcz9Sp8Pr9PUC8qBZSLftGvXvD+fPQtkQZ1wyGDD7/HCIicozfXXtkLbsTV3H6dK7eeg7HKEuuYuRIqFvXKE2G0kvVqqU2bX6OBSYzGkDZsi6RxWDwKGrUgIMH4f77c2xi8bLQonILFwrlek6cAL/gRHz9FOX8c6mjpFQ+gyANhmJI2bJQvz4kJWV7eNHeRSw8NhW7Hc6edZ1YRllyFW3b6lgNL/ORG0opFy7Au+9CTnF9JZgqwbkU3Tx6FJ58EgpQo8tgKDEopRWmUq4AnD4NvsEXqBhYMefFlbfegjffdK1gBoMruflm+OknCAjI9nCV4CoQpEu8uDJ9uLlzdxWDBplJzlC6sVjg6ad1rbFShr+3f84H9+7VGcFcXWXPYPAUFi+GsWPdLYVbOX0aLEFnqRBYIedGa9cad11DqaZKcBUI1FqSUZZKGiI5mhQNhlJDYCCcOgUjRrhbEs+iUyddX6IkpIg3GArD8uXwxhul+n/yzBnA/0zuytL06ZBN3T6DocSQmgpNm8L48dkerhhYEaps4PmPYmjUyHViGWXJFRw6pG8Uv//e3ZIYDO6lfA5Znko7ShkXXUPp5Zln9IKBfy4W2BLOZ59B6NX/o2JQRXeLYjC4Dx8fXZP0iiuyPVwhsAIEnaJep3+okMu6gqMptv/OSqkQpdR0pdQepVS8UuqsUmqNUurWbNp6KaVeUErtU0olKaU2KaUG59DvfUqpHUqpZKXUTqXUg0UW1tcXRo2CSwqWGgyljmXLdHyOqe+WwWuvwQcfuFsKg8F9+P+/vXsPk6K68z/+/jIzzMBwF4XBC2CMNzSCEifrDc2qOAHUKFFJ3MQbBuOPTTT+niQYN8R7NmrcRBNJcCXxQuKNNaDjKEZ0FZwkK4iKoK4XHgWN3IdBEGbO/nGqoaenhmmY7qqa7s/refoZpupU1fd09XzpU6fqnAp/m24RGzECGvo9T/9ubXwDfOcdfzv/yy9HG5hI1GbMaHM+xj267wEO5j/bi9dfjy6kTttYAroC24CbgNOBrwNvAPea2RUZZa8DpgJ3ADXAS8BDZvaV9EJmNhGYBjwCnAY8BPzazC7rUKQDBvjG0rBhHdqNSKf3yitw993+Bn3xFiwoykEvRLZraoIpU+DPf447klg4BzNmOGp6X8moIaPCC61ZA0uX+tuURIpU97LudCvrxr1Xn8k990R33NLoDpVbzrnV+AZSuifM7EDgIuAXAGa2F3AVcLNz7pag3LNmdgBwM/BEUK4UuAG41zl3dVq5QcB1ZjbdObd7WWrVKj9kcteuu7W5SMGYNMnPPl/kI1+18PjjcUcgEq+SEn812QxOPz3uaCK3YQNceKFxyy0/ZvyhbRQaOVIjZkpxuOEGuOMOWLEi9LvCHt33YHX3TaxfH9136s7cs9SW1fgep5TR+F6o+zLK3QccbmZDg9//CdgzpNy9wB7Acbsd0QUXQHX1bm8uu2/GjBmYGW+//Xbo+qlTp2Jm21+lpaUMHjyYiy++mA8//DC07LZt20L3JVkoLVVDSURa++AD/yWpCK1d63/27qP/W0T4whdgwgRo47tW/+79Ke2+YfvfTRQ6fWPJvFIz28PMLsU3jn6RVmQYsAXI/Lacutvx0LRyAK+1U65NK1euZM6cOTRlTit86aUaASzhXnjhBRYsWMCzzz7LlClTePzxxxkzZgzNmkQ4t5zzD3Pff3+rVU1NTcyZMwegKvK44vLii/7e7OXL445EJF5FPMBJ6q7kiU+PZ95788ILXXMNTJ4cWUwisRk3zs/JWFYWuvrRcx7l4H2rIp2UttPehpfmcuBXwb+3At91zv0hbX0/YJ1zrZ4oX5O2Pv1nZls1s1wLQQNt+9TjEyZMoLq6mrq6OkpSD6wW4W0FnU11dTWlpf7P4fjjj6ekpISJEyeybNkyDjnkkJijKyBmUFfnb7v5xje2L25qamL06NHU19cDDIotvqitWuWf4yriUcBEAD//2vTpcM89UF4edzSRSl0hv+iYr3JAvwPCC23a5EcMFCkGzkFzc+jAL0P7DmXPfvDxx9GFk5hLOWZ2spm5LF7zMjb9E/BF/MAN04Ffmdm3o4rbOfdb59xI59xIgI0bN1JfX09tba0v0NjoR7Ep0lu3Ur0F1113XXivW0L16tULgK16mDb3Xn211QTNtbW11NfXs7HYvgyccQa8+SbstVfckYjE66OPoL4ePvkk7kgil+pZ+t5J32KfXvuEF7r1ViJ9ol0kLp98Aj17+snaQzz33nMc8LW7mT49upCS1LM0H8jmEv6m9F+cc58Aqez6pJl1B24xs/8MBmRYC/QxM8voXUr1FKV6jlI9Sn2BlTsp167GxkYWLVrE2LFjYf58OPVUP0P5qDZGuSlQ6b0FjY2NVFZWtu51S4hUI27r1q0sWbKEG2+8kWHDhnHYYYfFHFlxWLhwIY2NjXGHISJx+frX/asIjR4Nc19cQ+XAzRRTx7pIqD328I+vHH546Opn3n2GO5ffyG3fvACI5rtkYnqWnHObnHNLs3i1d3P/34EewIDg99eBcuBzGeVSzyAtSSsHO55daqtcuyorKxk+fHiw9aF+qOQ2TnohS+8tcM617nVLkIqKCsrKyujevTsjR45ky5YtPPbYY3Qp4vvo82bePDjzTFi/fvuiESNGUFlZGVtIsTnvPLjllvbLiUjB6tULZm+4luHTDw4v8P778MUv+lsVRQpdly7+maXjwsdVm3L8FF4+azO/n1ES2ZSNhfhNcBSwEfhH8PuT+GeZvpFR7nzgNefcu8HvC4BVbZRbA7yYzcF79OhBdXU1NTU1fsHee8NFF0G/0EeeClpYb0Gq1y1pXnrpJf72t79RX1/Pgw8+SGVlJaeeeiofR3lTbLFoaIC33vLP6wRqamqorq6mR48eMQYWgy1bivYWXZFWLrsMbr897igi9+yz8Nc5h9OvWxvfEzZv9t8hunePNjCRuDjX5jN6FaUVPF1XysUXR/cYX5Juw9slwXNJXwLmAh/gh/c+BxgP/NA59xmAc+4fZnYb8CMzawBeBs4FvoyfzJag3FYzuwY/Ce2HwX6/jJ+zaXJqfzszaNAgpk2bRk1NzY7bzJYs8ZeN9mnjPuQCluotSH8OpUWvW4IcddRR2wd4OProoznhhBOoqqritttu42cZz9dIB40b519pSkpKqKuro7a2lnHjxq2IKbLozZoVdwQiybF8OfTtG3cUkXvgAXj54a9y8E2/Ci9w0EF+YByRYjFxIjz1VOhIsW+veZs5y18CzmftWv94U7512sYS8CpwBnAL/rmiVcAbwFjnXOYsj1fje5u+CwwElgHnOOfmpBdyzt1lZg74PvD/geXA/3PO/TqbgKqqqvxzSukuvNA3lp5+etdqVwBSvQWZzyxt73VLsAEDBtC/f38WL14cdyhFo6SkJPX3s7K9siJSgIp0gub166FLtwb6VPSJOxSRZDjrLD/fUoh1m9cx76NZwPmsWwf77Zf/cDptY8k5Nx/4SpZlm4Drg1d7ZacB0zoWXZpbb83Zrjqb9N6CRYsWMXz48Ja9bgm2cuVKVq1axZ577hl3KIXp29/2va3XXBN3JPGZPdtPwvnQQ7DvvnFHIyIx2bABKN/QdmNp6lR44QWYOzfCqERi9JW2v973regLFesAIptrqdM2ljqNNh5QKxap3oJWPW4Re/LJJxk4cGCLZb17997+7/r6ekpKSmhubub999/n5z//OSUlJUyaNKnVvh599NFWAz9UVVVx7LHH5if4QrRxI3z6adxRxKu01N8/UIS3HYmEqquD66/3t6f27x93NJFpaIDmsvX07dZGLthrL9h//2iDEomTc74lVFEB3bq1WNWnog9U+AGs1VgqBGvW+DlljjoKiu3B9YSZHDLz+bBhwxg/fjwAxwWNWjNj4MCBHHXUUdx1110cffTRrbY799xzWy0bM2YMc+bMabVc2nD//XFHEL+aGv8SEa+kxI+EtXFjUTWWNmyAprI19CnvE17gO9+JNB6R2C1eDMOHw8MPw9lnt1jVu6I37PkGl919Fyed1PqCdj4U4mh4yTF/Ppx4Irz2WtyRFK0LLrgA51zo67XXXmPq1KktljU3N7NixQpmz57dqqGUWTb9pYaSiEgHnXwyPPccDBkSdySRevKpbWyruVTPLImkDB3qhw8PmXantEspPSpL6bb3W5EM7gBqLOXXMcf40Tw0salIS7W1ft6QYh6a/fjj4cc/jjsKEYlZRe/10PPj8MZSU5N/pvHXWY0zJVIYevWCK66AAw8MX13Wh/mPjmDBgmjCUWMpn/r1g1NO0S14Ipm6d/ezdBfJc0srV65kzpw5NDU17Vh4+OEweHB8QYkk0dixcO21LRY1NTWleu+rYokpz269qQeXD3iAEwaf0Hrl5s0werRyhRSftWvhww9DV/Xp1pv6u89j9uxoQtEzS/k0b55vHR95ZNyRiCTLqFH+VSRWrFjBhAkTqK6upq6uzo8IqSvFIq317+//3ww0NTUxevRo6uvrAQbFFleeNDfDTdeXc/PNExgR1hSsrITp0yOPSyR2Y8b4wR2eeabVqr7d+lBSsYmGhl4hG+aeGkv5dOWVUFVVtHNHiMgOGzdupL6+ntra2thHhxRJrBkzWvxaW1tLfX19i8nNC0mqs/nTLh+zZVsfykvL4w1IJCmmTPGjxoboU9GHLuWNkTWWdBtePj34YFHPsySyU6ecUnTzLDU2NrJo0SI/t9Lee8M778QdkkiiLVy4kMbGxrjDyJvmZv/zpy9dybLVy1oX+M1vYOBAWL062sBE4jZ2LJx2WuiqWefO4vNVA2loiCYUNZby6YAD4OCD445CJJk+9zn/JaCIVFZWMnz4cN9QOu20ohoeWSQrM2f6kbA2bABgxIgRVFZWxhxU/qR6lq4YNZEhfYa0LvD5z8O4cZqPTYpPY6MfQvyzz1qtKispo2dPI6oOZzWW8mX1aj+XzEcfxR2JSDLddRdcfnncUUSmR48eVFdXU1NT40fKvPvuFs9miAj+Asqxx/qBDYCamhqqq6vpUaADJaUaS6d/4UR6lYfkg5NPht/9zs8/JVJMZs2CI46A995rterxNx9nv0uv4P77XSSh6K8vXxYvhvPPhyVL4o5ERGI2aNAgZs6cuWNwBxdNghfpdE46Ce67D/baC4CSkhLq6uqYOXMmwIpYY8uDnj3hb//7FuwzP7xA6j49kWJzwgn+cZYBA1qtemftOyxY9wiVvTdHEooaS/lyzDGwdClUV8cdiUgy/eEP/ipycLtNIauqqmLs2LG+oQRw3HFw3nnxBiXSSZSUlKQGRVkZdyz5MGPpf3D2o+PCVw4bBpdcEm1AIkmw337wta9B796tVk2unsxdBy3n17/sFkkoaizlS3k5HHSQH/ZTRFobPNjfi79lS9yRRG/8eDj11LijEEme5mb/POMNN8QdSSQaGuAvvz2Nntb66jkAF1ygXCHFyTl45RV4993Q1U88ATfeGE0oGjo8X556ymfBs8+OOxKRZCqyuZZauOKKuCMQSaYuXfzgJwcdFHckkWhshA8fG8thX74uvMAPfhBtQCJJYebvwrjkEvjFL1qsWrhyIU+8/yYbGr5GFP0+aizly513+tawGksikq6pyV89LyuLOxKRZLrzzrgjiExzM2DN9KwM+TqmXCHF7sEHYf/9Wy3e+NlG3t30Cmw9N5KbU3QbXr488ADU1sYdhUhybdnin1n62c/ijiRa9fX+Nt25c+OORCS5imQQlOZm6NJ1M73Ke7Ze+de/Qteu8PTT0QcmkgQ1NaG9zD3Le0K5n2QpirmW1FjKl8pKP5eKiIQrL4dzzoHDD487kmgNHOgn4z3wwLgjEUmmq68umv8/m5vByj71X/4yDRwIU6cWzS2JIq28+y7Mm9dqcY+uPaCrn2QpisaSbsPLhy1b/P2VY8YU3xdBkV3xy1/GHUH09t8ffvrTuKMQSa7qat+KaG4u+PmFmpuBro3+y1+moUPhJz+JPCaRxLjjDpg2jczZZ3t27QmHzeTW7x3DkCET8x5GYWehuKxcCT/6Efz973FHIpJ8qVkZi8X69bB1a9xRiCTX6afDTTcVfEMJYMgQ6HHVCP/lL1NDQ3GOFiqSMmmSHzAt47bcnuU9oWwLW0vXYJb/MMwVyX3BUTCzBmBZ3HHkUH9gVdxB5Fih1anQ6gNwkHMu5JtD56Xc0CkUWp0KrT6g3NAZFOLnrtDqVGj1gTznBt2Gl1vLnHMj4w4iV8zs74VUHyi8OhVafcDXKe4Y8kC5IeEKrU6FVh9QbugMCvVzV0h1KrT6QP5zQ+H3cYuIiIiIiOwGNZZERERERERCqLGUW7+NO4AcK7T6QOHVqdDqA6pTZ1Bo9YHCq1Oh1QdUp86g0OoDhVenQqsP5LlOGuBBREREREQkhHqWREREREREQqixJCIiIiIiEkKNpTRmtq+ZPWxm681sg5k9amb7ZblthZn93MxWmtmnZrbAzE4IKdfFzH5kZu+Z2WYze8XMzs59bbYfb7fqZGYjzey3ZrbUzDaZ2XIzu9/MhoaUfc/MXMjrzKTUJ9g2LEZnZsMzynWWczR1J3XanFE2ynO0j5n9Kvgb2BQcZ0iW22b93pvZxODzucXMlpnZpJxWpOWxlBt2bKfckPxzpNyg3LBbCi0vdKROwbbKDcoN4JzTyz+31R14C3gNOBM4A3gV+F+gMovt7wfWAROBfwYeBT4FhmeUuwHYAlwFnARMA5qBrySpTsAtwIvAd4BRwNeBN4DVwL4ZZd8DngS+lPHqm5T6BNs74J6QOLt30nO0T0hd/hnYCjwYxzkKjnUi8DHwBFAXvO9Dstw2q/c++DtrDsqfBFwf/H5Zks5RsL1yg3JD1OdIuUG5IerPXOLyQo7OkXKDcoMaS2lv4neBJuCAtGVDgW3Ale1se0RwYi9MW1aKn5X7z2nL9gpO6E8ztn8GWJywOu0Zsmxw8MG6NmP5e8B9ST5HQVkHXN9OmU5zjtrY378E9RwTxzkKjtUl7d+XZJv0sn3vg7+tfwC/zyj3n/hZycuSco6UG5Qb4qpTyP6UG5Qb8lmfxOWFjtYpKKvcEM15SnRu0G14O5wOvOScezu1wDn3Lv5KyRlZbLsV+FPattuAPwKjzaw8WDwa6Arcl7H9fcDhYd3VHbTbdXLOfRKy7H3gE2DvHMeZrY6co2x1mnPUhm/hr87U5Sa8Xeeca97NTbN97/8J2DOk3L3AHsBxu3n8tig3pFFuSP45aoNyg3JDewotL4ByQzaUG9rJDWos7TAM36WZ6XXg0Cy2fdc5tylk267AAWnltgBvh5Qji+Psqo7UqRUzOwTfin8jZPW44D7TLWb2Up7uPc5FfS4LYtxkZn8xs+NDjtEpz5GZ7YvvWr4/+E83UxTnqCOyfe+HBT8z37ckniPlBuWG3aXcsINyQzSfu0LLC6DcsFPKDdmdIzWWdugHrA1Zvgbo24FtU+tTP9e5oO9vJ+VypSN1asHMSoG78FeJ7s5YPRuYjG/hfwPYDMwys/N3NeB2dLQ+9+Hvpz4ZuBR/NeEvZnZixjE65TkCzsf/Tf8+ZF1U56gjsn3vUz8z37ckniPlBuWG3aXcsINyQzSfu0LLC6Dc0B7lhpbrQ5XudnhSbO4AjsHf09riw+acm5z+u5nNAl4CbqJ1l2dsnHP/kvbrf5vZY/irDNeT+9sz4vBNYKFzbnHmis5yjqRTUm5IPuUGiVqnzwug3JD+e5LPU76pZ2mHtYS3yNtqwWe7Lexoua4F+piZtVMuVzpSp+3M7Gb8FZWLnHNPtVfeOdcEPATsY2ZV2R4nCzmpT4pzrgF4HPhixjE64zk6GjiY8KtDreTxHHVEtu996n3JfN+SeI6UG9IoN+wS5YYdlBui+dwVWl4A5YY2KTeElgulxtIOr7PjnsZ0hwJLsth2qJl1D9n2M3bcS/k6UA58LqQcWRxnV3WkTgCY2dXAD4B/dc7duxsxZHaNdkSH69OG9Bg73TkKfAv/sPADuxFDLs9RR2T73qfuMc5835J4jpQb2qbcsHPKDTsoN0TzuSu0vADKDTuj3JDtOWpvWL5ieQHfww+7uH/asiH4D9L329l2BP6D8620ZaX4hxpnpy3bC58Ef5Kx/Vzg1STVKSj7r0G9puzicUuB/wHeT1J9QvbXC1gOPN9Zz1FQvit+LovH4j5HIcfZ1SFA233vgTL8ffD3ZJSbHrwPXZNyjpQbovncKTe0uQ/lBqfcENVnLml5IRd1CtmfckMR5oa8VbazvYBK/JWcV/FDL54OvAK8A/RIKzc4+JD+W8b2f8R3812Cn+DrYfzDcEdmlLs5WH4lfhKu3+DnIRibpDoB5wVx1dJ6QrJD08pNCOr+TfyIKucB/x180M9LUH2uAn6HnyjvRPwVlVeDP7LjO+M5Slt3VvB+n9XGMSI7R2nHHB+8fhMc57Lg91FpZbYBd+/Oew9MCpZfH5S7Nvj98qSdI5QblBti+NwF65QblBuKNi/koE7KDcoNftt8VLizvoD9gEeADUAD8F9ktGzxrXcHTM1Y3g24DfgoOGn1wIkhxygBfgy8jx/ucDEwPml1AmYEy8Je89LKfQn4C36M/q342cjnAqMTVp9x+DkIVgVxrgb+DBzdWc9R2rrH2MmVkajPUXDMbD47Dpixu+898G3gzaDcW8B3kniOUG5QbojhcxesU25Qbojq72hGluc2js+cckPr7ZUbdiE3WLCxiIiIiIiIpNEADyIiIiIiIiHUWBIREREREQmhxpKIiIiIiEgINZZERERERERCqLEkIiIiIiISQo0lERERERGREGosScEys0ozW2Fm43O0v25mttLMzsnF/kQkHsoNIhJGuUHCqLEkhez7+MnkHsnFzpxznwL/DtxoZmW52KeIxEK5QUTCKDdIK2osSUEys3JgMjDN5Xbm5RnAvsBXc7hPEYmIcoOIhFFukLaosSSJFHSFLzWzv6ZfjTGzU82s2cwub2cXZwL9gD9l7HeGmX1gZiPNbL6ZfWpmy8xsTLD+SjN7z8w2mNljZrZn+vbOubVAHXBJLuopIrtGuUFEwig3SL6osSSJ5JxrBCYARwDXAZjZAOAPwGzn3J3t7OI04A3n3KqQdb2C/UzHX+n5B/CImd0KnARcDnwv+HfYcZ4HRplZxS5WS0Q6SLlBRMIoN0i+lMYdgEhbnHMLzeyHwC1mNhe4CmgCLs5i8y8BL7exricwyTn3PICZrQBeAcYChzrnmoLlhwGTzawktSywEOgKHAnM3/WaiUhHKDeISBjlBskHNZYk6W4HTgHm4BPNKW1c9ck0CN/tHaYxlfACS4OfczOS21L830gV8EHa8k/SjiEi8bgd5QYRae12lBskh3QbniRa8JDlvUA58Ipz7pksN60AtrSxbl3GMT4L/rk2o1xqeWa3+afBz25ZxiIiOabcICJhlBsk19RYkkQzs4HAf+C7xo8ws+9muelqoG+ewuoX/MzmSpWI5IFyg4iEUW6QXFNjSRLLzAz4Pf5Kz8n4rvWfmdkXsth8KbB/nkIbGvxclqf9i8hOKDeISBjlBskHNZYkya7EJ7vzg6E3fwgsAWaaWXtd2c8DI80sH5/xauBD59w7edi3iLRPuUFEwig3SM6psSSJZGZHAjcCNznnnoPt9whPAIYAt7Wziz8BvYHj8xDeWOCPediviLRDuUFEwig3SL5YbicpFkkOM5sHvO2cy9lEcGZWjR/28xDn3Ju52q+IREe5QUTCKDdIGDWWpGCZ2bHAXOAA59yHOdrnLGCtc+6iXOxPRKKn3CAiYZQbJIxuw5OC5Zx7EbgCGJyL/QX3Oy8Crs7F/kQkHsoNIhJGuUHCqGdJREREREQkhHqWREREREREQqixJCIiIiIiEkKNJRERERERkRBqLImIiIiIiIRQY0lERERERCTE/wEvDTU3oj/QOgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 864x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax=plt.subplots(1,3,figsize=(12,4))\n",
    "\n",
    "plt.subplot(1,3,1)\n",
    "plt.plot(xQ, QPM001/1000,     'r:')\n",
    "plt.plot(xQ, QW001/1000,      'g-.')\n",
    "plt.plot(xQ, Q001/1000,       'b--')\n",
    "plt.plot(lbl[:,4], lbl[:,5],'ko',  ms=5)\n",
    "plt.title(r'$f_v=0.01$ ppmv')\n",
    "plt.xlabel('x (m)')\n",
    "plt.ylabel(r'Q (kw/m$^3$)')\n",
    "plt.xlim([0,1])\n",
    "plt.ylim([-350,0])\n",
    "plt.yticks([-300,-200,-100,0])\n",
    "plt.legend(['PM', 'WSGG', 'RCSLW', 'LBL'], frameon=False)\n",
    "\n",
    "plt.subplot(1,3,2)\n",
    "plt.plot(xQ, QPM01/1000,    'r:')\n",
    "plt.plot(xQ, QW01/1000,     'g-.')\n",
    "plt.plot(xQ, Q01/1000,      'b--')\n",
    "plt.plot(lbl[:,2], lbl[:,3],'ko', ms=5)\n",
    "plt.title(r'$f_v=0.1$ ppmv')\n",
    "plt.xlabel('x (m)')\n",
    "plt.xlim([0,1])\n",
    "plt.ylim([-350,0])\n",
    "plt.yticks([]);\n",
    "\n",
    "plt.subplot(1,3,3)\n",
    "plt.plot(xQ, QPM1/1000,   'r:')\n",
    "plt.plot(xQ, QW1/1000,    'g-.')\n",
    "plt.plot(xQ, Q1/1000,     'b--')\n",
    "plt.plot(lbl[:,0], lbl[:,1],'ko', ms=5)\n",
    "plt.title(r'$f_v=1$ ppmv')\n",
    "plt.xlabel('x (m)')\n",
    "plt.xlim([0,1])\n",
    "plt.ylim([-350,0])\n",
    "plt.yticks([]);\n",
    "\n",
    "plt.savefig('ex_Sb1.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
